EduSahara™ Assignment
Name : Linear Inequations
Chapter : Linear Inequations
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • Solve the inequation
    • (
      −
      4
      x
      −
      16
      		)
      <
      0
      ,
      x
      ∈
      Z
  • (i)
    {-4,-5,-6,-7,-8,...}
  • (ii)
    {-5,-6,-7,-8,-9,...}
  • (iii)
    {-3,-2,-1,0,1,...}
  • (iv)
    {-4,-3,-2,-1,0,...}
Question 2
2.
    • Solve the inequation
    • (
      −
      7
      x
      −
      63
      		)
      >
      0
      ,
      x
      ∈
      Z
  • (i)
    {-9,-10,-11,-12,-13,...}
  • (ii)
    {-9,-8,-7,-6,-5,...}
  • (iii)
    {-8,-7,-6,-5,-4,...}
  • (iv)
    {-10,-11,-12,-13,-14,...}
Question 3
3.
    • Solve the inequation
    • (
      −
      x
      +
      8
      		)
      ≤
      0
      ,
      x
      ∈
      Z
  • (i)
    {8,9,10,11,12,...}
  • (ii)
    {9,10,11,12,13,...}
  • (iii)
    {7,6,5,4,3,...}
  • (iv)
    {8,7,6,5,4,...}
Question 4
4.
    • Solve the inequation
    • (
      9
      x
      +
      27
      		)
      ≥
      0
      ,
      x
      ∈
      Z
  • (i)
    {-3,-2,-1,0,1,...}
  • (ii)
    {-3,-4,-5,-6,-7,...}
  • (iii)
    {-4,-5,-6,-7,-8,...}
  • (iv)
    {-2,-1,0,1,2,...}
Question 5
5.
    • Find the solution set for the given inequation
    • (
      −
      2
      x
      −
      12
      		)
      <
      0
      ,
      where the replacement set is
      {-8,-7,-6,-5,-4,-3,-2}
  • (i)
    {-7,-8,-9,-10,-11}
  • (ii)
    {-5,-4,-3,-2}
  • (iii)
    {-6,-7,-8,-9,-10}
  • (iv)
    {-5,-4,-3,-2,-1}
  • (v)
    {-6,-5,-4,-3,-2}
Question 6
6.
    • Find the solution set for the given inequation
    • (
      5
      x
      +
      25
      		)
      >
      0
      ,
      where the replacement set is
      {-7,-6,-5,-4,-3,-2,-1}
  • (i)
    {-4,-3,-2,-1}
  • (ii)
    {-6,-7,-8,-9,-10}
  • (iii)
    {-5,-4,-3,-2,-1}
  • (iv)
    {-5,-6,-7,-8,-9}
  • (v)
    {-4,-3,-2,-1,0}
Question 7
7.
    • Find the solution set for the given inequation
    • (
      2
      x
      −
      14
      		)
      ≤
      0
      ,
      where the replacement set is
      {10,9,8,7,6,5,4}
  • (i)
    {8,9,10,11,12}
  • (ii)
    {7,8,9,10,11}
  • (iii)
    {6,5,4,3,2}
  • (iv)
    {7,6,5,4}
  • (v)
    {7,6,5,4,3}
Question 8
8.
    • Find the solution set for the given inequation
    • (
      −
      8
      x
      −
      72
      		)
      ≥
      0
      ,
      where the replacement set is
      {-6,-7,-8,-9,-10,-11,-12}
  • (i)
    {-10,-11,-12,-13,-14}
  • (ii)
    {-9,-10,-11,-12}
  • (iii)
    {-8,-7,-6,-5,-4}
  • (iv)
    {-9,-8,-7,-6,-5}
  • (v)
    {-9,-10,-11,-12,-13}
Question 9
9.
Which of the following is an inequation?
  • (i)
    (
    8
    x
    +
    8
    		)
    =
    0
  • (ii)
    (
    5
    x
    +
    8
    		)
  • (iii)
    1
  • (iv)
    (
    2
    x
    +
    8
    		)
    ≤
    0
    ,
    x
    ∈
    Z
Question 10
10.
Which of the following is not an inequation?
  • (i)
    (
    5
    x
    −
    8
    		)
    >
    0
    ,
    x
    ∈
    Z
  • (ii)
    (
    3
    x
    −
    9
    		)
    ≥
    (
    −
    7
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    −
    7
    x
    +
    9
    		)
    <
    1
    ,
    x
    ∈
    Z
  • (iv)
    (
    x
    +
    6
    		)
    =
    5
  • (v)
    (
    3
    x
    −
    7
    		)
    ≤
    (
    −
    5
    		)
    ,
    x
    ∈
    Z
Question 11
11.
Which of the following is not an inequation?
  • (i)
    (
    −
    4
    x
    +
    4
    		)
    <
    (
    4
    x
    −
    8
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    7
    x
    +
    4
    		)
    =
    (
    5
    x
    +
    3
    		)
  • (iii)
    (
    −
    2
    x
    +
    9
    		)
    ≤
    (
    7
    x
    +
    9
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    8
    x
    −
    1
    		)
    ≥
    (
    3
    x
    +
    5
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    8
    x
    −
    7
    		)
    >
    (
    −
    7
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
Question 12
12.
    • Which of the following inequations is the same as
    • (
      9
      x
      −
      7
      		)
      <
      (
      7
      x
      −
      9
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    9
    x
    −
    7
    		)
    >
    (
    14
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    16
    x
    +
    1
    		)
    >
    (
    7
    x
    −
    9
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    16
    x
    +
    1
    		)
    <
    (
    7
    x
    −
    9
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    16
    x
    +
    1
    		)
    <
    (
    14
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    9
    x
    −
    7
    		)
    <
    (
    14
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
Question 13
13.
    • Which of the following inequations is the same as
    • (
      −
      3
      x
      −
      2
      		)
      <
      (
      5
      x
      −
      3
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    2
    x
    −
    1
    		)
    <
    (
    10
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    2
    x
    −
    1
    		)
    >
    (
    5
    x
    −
    3
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    2
    x
    −
    1
    		)
    <
    (
    5
    x
    −
    3
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    −
    3
    x
    −
    2
    		)
    <
    (
    10
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    −
    3
    x
    −
    2
    		)
    >
    (
    10
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
Question 14
14.
    • Which of the following inequations is the same as
    • (
      −
      8
      x
      +
      7
      		)
      ≤
      (
      x
      +
      2
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    −
    9
    x
    +
    7
    		)
    >
    (
    x
    +
    2
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    −
    9
    x
    +
    7
    		)
    ≤
    2
    ,
    x
    ∈
    Z
  • (iii)
    (
    −
    8
    x
    +
    7
    		)
    >
    2
    ,
    x
    ∈
    Z
  • (iv)
    (
    −
    9
    x
    +
    7
    		)
    <
    (
    x
    +
    2
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    −
    8
    x
    +
    7
    		)
    <
    2
    ,
    x
    ∈
    Z
Question 15
15.
    • Which of the following inequations is the same as
    • (
      9
      x
      −
      2
      		)
      ≤
      (
      −
      3
      x
      +
      6
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    16
    x
    +
    2
    		)
    >
    (
    −
    3
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    9
    x
    −
    2
    		)
    >
    (
    4
    x
    +
    10
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    16
    x
    +
    2
    		)
    ≤
    (
    4
    x
    +
    10
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    16
    x
    +
    2
    		)
    <
    (
    −
    3
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    9
    x
    −
    2
    		)
    <
    (
    4
    x
    +
    10
    		)
    ,
    x
    ∈
    Z
Question 16
16.
    • Which of the following inequations is the same as
    • (
      8
      x
      +
      9
      		)
      >
      (
      2
      x
      +
      4
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    8
    x
    +
    9
    		)
    >
    (
    −
    3
    x
    −
    4
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    3
    x
    +
    1
    		)
    >
    (
    2
    x
    +
    4
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    8
    x
    +
    9
    		)
    <
    (
    −
    3
    x
    −
    4
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    3
    x
    +
    1
    		)
    >
    (
    −
    3
    x
    −
    4
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    3
    x
    +
    1
    		)
    <
    (
    2
    x
    +
    4
    		)
    ,
    x
    ∈
    Z
Question 17
17.
    • Which of the following inequations is the same as
    • (
      −
      x
      −
      9
      		)
      >
      (
      −
      6
      x
      −
      4
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    −
    8
    x
    −
    17
    		)
    >
    (
    −
    6
    x
    −
    4
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    −
    x
    −
    9
    		)
    >
    (
    −
    13
    x
    −
    12
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    −
    x
    −
    9
    		)
    <
    (
    −
    13
    x
    −
    12
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    −
    8
    x
    −
    17
    		)
    >
    (
    −
    13
    x
    −
    12
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    −
    8
    x
    −
    17
    		)
    <
    (
    −
    6
    x
    −
    4
    		)
    ,
    x
    ∈
    Z
Question 18
18.
    • Which of the following inequations is the same as
    • (
      −
      9
      x
      −
      6
      		)
      ≥
      (
      −
      4
      x
      +
      2
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    −
    9
    x
    −
    6
    		)
    >
    (
    −
    7
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    −
    9
    x
    −
    6
    		)
    <
    (
    −
    7
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    −
    12
    x
    −
    14
    		)
    <
    (
    −
    4
    x
    +
    2
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    −
    12
    x
    −
    14
    		)
    >
    (
    −
    4
    x
    +
    2
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    −
    12
    x
    −
    14
    		)
    ≥
    (
    −
    7
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
Question 19
19.
    • Which of the following inequations is the same as
    • (
      −
      2
      x
      −
      5
      		)
      ≥
      (
      −
      x
      −
      9
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    −
    2
    x
    −
    5
    		)
    <
    (
    −
    4
    x
    −
    14
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    −
    5
    x
    −
    10
    		)
    >
    (
    −
    x
    −
    9
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    −
    5
    x
    −
    10
    		)
    <
    (
    −
    x
    −
    9
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    −
    5
    x
    −
    10
    		)
    ≥
    (
    −
    4
    x
    −
    14
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    −
    2
    x
    −
    5
    		)
    >
    (
    −
    4
    x
    −
    14
    		)
    ,
    x
    ∈
    Z
Question 20
20.
    • Which of the following inequations is the same as
    • (
      7
      x
      +
      8
      		)
      <
      (
      5
      x
      −
      9
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    63
    x
    +
    72
    		)
    >
    (
    5
    x
    −
    9
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    63
    x
    +
    72
    		)
    <
    (
    45
    x
    −
    81
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    7
    x
    +
    8
    		)
    >
    (
    45
    x
    −
    81
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    63
    x
    +
    72
    		)
    <
    (
    5
    x
    −
    9
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    7
    x
    +
    8
    		)
    <
    (
    45
    x
    −
    81
    		)
    ,
    x
    ∈
    Z
Question 21
21.
    • Which of the following inequations is the same as
    • (
      x
      +
      6
      		)
      ≤
      (
      3
      x
      −
      5
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    x
    +
    6
    		)
    <
    (
    −
    18
    x
    +
    30
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    −
    6
    x
    −
    36
    		)
    ≥
    (
    −
    18
    x
    +
    30
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    −
    6
    x
    −
    36
    		)
    <
    (
    3
    x
    −
    5
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    x
    +
    6
    		)
    >
    (
    −
    18
    x
    +
    30
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    −
    6
    x
    −
    36
    		)
    >
    (
    3
    x
    −
    5
    		)
    ,
    x
    ∈
    Z
Question 22
22.
    • Which of the following inequations is the same as
    • (
      4
      x
      +
      3
      		)
      >
      (
      7
      x
      +
      8
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    −
    36
    x
    −
    27
    		)
    <
    (
    −
    63
    x
    −
    72
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    −
    36
    x
    −
    27
    		)
    <
    (
    7
    x
    +
    8
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    4
    x
    +
    3
    		)
    >
    (
    −
    63
    x
    −
    72
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    4
    x
    +
    3
    		)
    <
    (
    −
    63
    x
    −
    72
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    −
    36
    x
    −
    27
    		)
    >
    (
    7
    x
    +
    8
    		)
    ,
    x
    ∈
    Z
Question 23
23.
    • Which of the following inequations is the same as
    • (
      4
      x
      +
      3
      		)
      ≥
      (
      5
      x
      +
      4
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    20
    x
    +
    15
    		)
    ≥
    (
    25
    x
    +
    20
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    20
    x
    +
    15
    		)
    >
    (
    5
    x
    +
    4
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    4
    x
    +
    3
    		)
    <
    (
    25
    x
    +
    20
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    4
    x
    +
    3
    		)
    >
    (
    25
    x
    +
    20
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    20
    x
    +
    15
    		)
    <
    (
    5
    x
    +
    4
    		)
    ,
    x
    ∈
    Z
Question 24
24.
    • Which of the following inequations is not the same as
    • (
      −
      x
      +
      2
      		)
      <
      (
      −
      4
      x
      −
      4
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    4
    x
    −
    1
    		)
    <
    (
    −
    9
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    −
    8
    x
    +
    3
    		)
    <
    (
    −
    11
    x
    −
    3
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    −
    6
    x
    −
    6
    		)
    <
    (
    −
    9
    x
    −
    12
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    4
    x
    −
    1
    		)
    <
    (
    x
    −
    7
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    −
    6
    x
    +
    4
    		)
    <
    (
    −
    9
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
Question 25
25.
    • Which of the following inequations is not the same as
    • (
      −
      x
      −
      8
      		)
      <
      (
      6
      x
      −
      6
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    6
    x
    −
    15
    		)
    <
    (
    13
    x
    −
    13
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    4
    x
    −
    15
    		)
    <
    (
    11
    x
    −
    13
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    4
    x
    −
    6
    		)
    <
    (
    4
    x
    −
    15
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    −
    3
    x
    −
    17
    		)
    <
    (
    4
    x
    −
    15
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    4
    x
    −
    6
    		)
    <
    (
    11
    x
    −
    4
    		)
    ,
    x
    ∈
    Z
Question 26
26.
    • Which of the following inequations is not the same as
    • (
      −
      x
      +
      6
      		)
      ≤
      (
      4
      x
      +
      2
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    5
    x
    +
    3
    		)
    ≤
    (
    −
    5
    x
    +
    3
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    5
    x
    +
    3
    		)
    ≤
    (
    10
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    −
    10
    x
    +
    7
    		)
    ≤
    (
    −
    5
    x
    +
    3
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    5
    x
    +
    4
    		)
    ≤
    10
    x
    ,
    x
    ∈
    Z
  • (v)
    (
    4
    x
    +
    1
    		)
    ≤
    (
    9
    x
    −
    3
    		)
    ,
    x
    ∈
    Z
Question 27
27.
    • Which of the following inequations is not the same as
    • (
      9
      x
      +
      2
      		)
      ≤
      8
      x
      ,
      x
      ∈
      Z
  • (i)
    (
    14
    x
    −
    1
    		)
    ≤
    (
    13
    x
    −
    3
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    15
    x
    +
    2
    		)
    ≤
    (
    7
    x
    +
    7
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    15
    x
    +
    2
    		)
    ≤
    14
    x
    ,
    x
    ∈
    Z
  • (iv)
    (
    15
    x
    −
    7
    		)
    ≤
    (
    14
    x
    −
    9
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    8
    x
    +
    9
    		)
    ≤
    (
    7
    x
    +
    7
    		)
    ,
    x
    ∈
    Z
Question 28
28.
    • Which of the following inequations is not the same as
    • (
      −
      5
      x
      +
      7
      		)
      >
      (
      −
      8
      x
      +
      6
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    3
    x
    +
    14
    		)
    >
    13
    ,
    x
    ∈
    Z
  • (ii)
    (
    4
    x
    +
    14
    		)
    >
    13
    ,
    x
    ∈
    Z
  • (iii)
    (
    x
    +
    11
    		)
    >
    (
    −
    2
    x
    +
    10
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    4
    x
    +
    14
    		)
    >
    (
    x
    +
    13
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    −
    2
    		)
    >
    (
    −
    3
    x
    −
    3
    		)
    ,
    x
    ∈
    Z
Question 29
29.
    • Which of the following inequations is not the same as
    • (
      9
      x
      +
      9
      		)
      >
      (
      −
      4
      x
      +
      8
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    10
    x
    +
    17
    		)
    >
    (
    3
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (ii)
    16
    x
    >
    (
    3
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    6
    x
    +
    10
    		)
    >
    (
    −
    7
    x
    +
    9
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    10
    x
    +
    17
    		)
    >
    (
    −
    3
    x
    +
    16
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    x
    +
    9
    		)
    >
    (
    −
    12
    x
    +
    8
    		)
    ,
    x
    ∈
    Z
Question 30
30.
    • Which of the following inequations is not the same as
    • (
      4
      x
      −
      5
      		)
      ≥
      (
      −
      3
      x
      −
      7
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    −
    x
    −
    14
    		)
    ≥
    (
    −
    8
    x
    −
    16
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    5
    x
    −
    6
    		)
    ≥
    (
    −
    2
    x
    −
    8
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    12
    x
    −
    1
    		)
    ≥
    (
    5
    x
    −
    3
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    −
    x
    −
    14
    		)
    ≥
    (
    5
    x
    −
    5
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    12
    x
    −
    3
    		)
    ≥
    (
    5
    x
    −
    5
    		)
    ,
    x
    ∈
    Z
Question 31
31.
    • Which of the following inequations is not the same as
    • (
      −
      6
      x
      −
      1
      		)
      ≥
      (
      3
      x
      +
      7
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    −
    13
    x
    +
    6
    		)
    ≥
    (
    −
    4
    x
    +
    14
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    −
    3
    x
    −
    5
    		)
    ≥
    (
    6
    x
    +
    3
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    −
    12
    x
    −
    7
    		)
    ≥
    (
    −
    3
    x
    +
    1
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    −
    5
    x
    −
    6
    		)
    ≥
    (
    4
    x
    +
    2
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    −
    5
    x
    −
    6
    		)
    ≥
    (
    −
    4
    x
    +
    14
    		)
    ,
    x
    ∈
    Z
Question 32
32.
    • The solution set of the inequality
    • (
      −
      x
      +
      2
      		)
      <
      (
      −
      2
      x
      +
      4
      		)
      ,
      x
      ∈
      Z
    • is
  • (i)
    {1,2,3,4,5,...}
  • (ii)
    {2,3,4,5,6,...}
  • (iii)
    {0,1,2,3,4,...}
  • (iv)
    {1,0,-1,-2,-3,...}
  • (v)
    {3,4,5,6,7,...}
Question 33
33.
    • The solution set of the inequality
    • (
      7
      x
      −
      2
      		)
      >
      (
      4
      x
      −
      3
      		)
      ,
      x
      ∈
      Z
    • is
  • (i)
    {-1,0,1,2,3,...}
  • (ii)
    {0,1,2,3,4,...}
  • (iii)
    {-1,-2,-3,-4,-5,...}
Question 34
34.
    • The solution set of the inequality
    • x
      ≤
      (
      3
      x
      −
      9
      		)
      ,
      x
      ∈
      Z
    • is
  • (i)
    {1,2,3,4,5,...}
  • (ii)
    {1,0,-1,-2,-3,...}
  • (iii)
    {5,6,7,8,9,...}
  • (iv)
    {4,3,2,1,0,...}
Question 35
35.
    • The solution set of the inequality
    • (
      −
      x
      −
      7
      		)
      ≥
      (
      7
      x
      +
      6
      		)
      ,
      x
      ∈
      Z
    • is
  • (i)
    {-2,-3,-4,-5,-6,...}
  • (ii)
    {1,2,3,4,5,...}
  • (iii)
    {0,1,2,3,4,...}
  • (iv)
    {-1,0,1,2,3,...}
Question 36
36.
    • The solution set of the inequality
    • (
      2
      x
      −
      6
      		)
      <
      1
      ,
      x
      ∈
      Z
    • is
  • (i)
    {0,-1,-2,-3,-4,...}
  • (ii)
    {4,5,6,7,8,...}
  • (iii)
    {-1,0,1,2,3,...}
  • (iv)
    {3,2,1,0,-1,...}
Question 37
37.
    • The solution set of the inequality
    • (
      2
      x
      −
      9
      		)
      >
      (
      −
      5
      		)
      ,
      x
      ∈
      Z
    • is
  • (i)
    {-2,-3,-4,-5,-6,...}
  • (ii)
    {1,0,-1,-2,-3,...}
  • (iii)
    {3,4,5,6,7,...}
  • (iv)
    {-2,-1,0,1,2,...}
  • (v)
    {2,3,4,5,6,...}
Question 38
38.
    • The solution set of the inequality
    • (
      −
      3
      x
      +
      9
      		)
      ≤
      (
      −
      7
      		)
      ,
      x
      ∈
      Z
    • is
  • (i)
    {0,-1,-2,-3,-4,...}
  • (ii)
    {6,7,8,9,10,...}
  • (iii)
    {5,4,3,2,1,...}
  • (iv)
    {5,6,7,8,9,...}
Question 39
39.
    • The solution set of the inequality
    • (
      7
      x
      +
      3
      		)
      ≥
      0
      ,
      x
      ∈
      Z
    • is
  • (i)
    {0,1,2,3,4,...}
  • (ii)
    {4,3,2,1,0,...}
  • (iii)
    {0,-1,-2,-3,-4,...}
  • (iv)
    {-1,-2,-3,-4,-5,...}
Question 40
40.
    • The simplified form of the inequality
    • (
      3
      x
      −
      5
      		)
      <
      3
      ,
      x
      ∈
      Z
    • is
  • (i)
    x
    ≤
    3
    ,
    x
    ∈
    Z
  • (ii)
    x
    <
    8
    3
    ,
    x
    ∈
    Z
  • (iii)
    x
    <
    7
    3
    ,
    x
    ∈
    Z
  • (iv)
    x
    ≥
    3
    ,
    x
    ∈
    Z
  • (v)
    x
    >
    7
    3
    ,
    x
    ∈
    Z
Question 41
41.
    • The simplified form of the inequality
    • (
      −
      x
      +
      6
      		)
      >
      (
      −
      9
      		)
      ,
      x
      ∈
      Z
    • is
  • (i)
    x
    ≥
    14
    ,
    x
    ∈
    Z
  • (ii)
    x
    ≤
    14
    ,
    x
    ∈
    Z
  • (iii)
    x
    <
    15
    ,
    x
    ∈
    Z
  • (iv)
    x
    >
    16
    ,
    x
    ∈
    Z
  • (v)
    x
    <
    16
    ,
    x
    ∈
    Z
Question 42
42.
    • The simplified form of the inequality
    • (
      5
      x
      −
      2
      		)
      ≤
      (
      −
      8
      		)
      ,
      x
      ∈
      Z
    • is
  • (i)
    x
    ≤
    (
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (ii)
    x
    >
    (
    −
    7
    5
    		)
    ,
    x
    ∈
    Z
  • (iii)
    x
    ≥
    (
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (iv)
    x
    ≤
    (
    −
    6
    5
    		)
    ,
    x
    ∈
    Z
  • (v)
    x
    <
    (
    −
    7
    5
    		)
    ,
    x
    ∈
    Z
Question 43
43.
    • The simplified form of the inequality
    • (
      8
      x
      −
      3
      		)
      ≥
      (
      −
      9
      		)
      ,
      x
      ∈
      Z
    • is
  • (i)
    x
    ≥
    (
    −
    3
    4
    		)
    ,
    x
    ∈
    Z
  • (ii)
    x
    ≥
    (
    −
    5
    8
    		)
    ,
    x
    ∈
    Z
  • (iii)
    x
    <
    (
    −
    7
    8
    		)
    ,
    x
    ∈
    Z
  • (iv)
    x
    ≤
    (
    −
    5
    8
    		)
    ,
    x
    ∈
    Z
  • (v)
    x
    >
    (
    −
    7
    8
    		)
    ,
    x
    ∈
    Z
Question 44
44.
    • The simplified form of the inequality
    • (
      9
      x
      +
      5
      		)
      <
      (
      −
      7
      x
      +
      1
      		)
      ,
      x
      ∈
      Z
    • is
  • (i)
    x
    >
    (
    −
    5
    16
    		)
    ,
    x
    ∈
    Z
  • (ii)
    x
    <
    (
    −
    1
    4
    		)
    ,
    x
    ∈
    Z
  • (iii)
    x
    ≥
    (
    −
    3
    16
    		)
    ,
    x
    ∈
    Z
  • (iv)
    x
    <
    (
    −
    5
    16
    		)
    ,
    x
    ∈
    Z
  • (v)
    x
    ≤
    (
    −
    3
    16
    		)
    ,
    x
    ∈
    Z
Question 45
45.
    • The simplified form of the inequality
    • (
      −
      3
      x
      +
      4
      		)
      >
      (
      −
      5
      x
      −
      3
      		)
      ,
      x
      ∈
      Z
    • is
  • (i)
    x
    >
    (
    −
    4
    		)
    ,
    x
    ∈
    Z
  • (ii)
    x
    ≥
    (
    −
    3
    		)
    ,
    x
    ∈
    Z
  • (iii)
    x
    >
    (
    −
    7
    2
    		)
    ,
    x
    ∈
    Z
  • (iv)
    x
    ≤
    (
    −
    3
    		)
    ,
    x
    ∈
    Z
  • (v)
    x
    <
    (
    −
    4
    		)
    ,
    x
    ∈
    Z
Question 46
46.
    • The simplified form of the inequality
    • (
      2
      x
      +
      4
      		)
      ≤
      (
      3
      x
      +
      4
      		)
      ,
      x
      ∈
      Z
    • is
  • (i)
    x
    ≥
    (
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (ii)
    x
    <
    1
    ,
    x
    ∈
    Z
  • (iii)
    x
    ≤
    (
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (iv)
    x
    ≥
    0
    ,
    x
    ∈
    Z
  • (v)
    x
    >
    1
    ,
    x
    ∈
    Z
Question 47
47.
    • The simplified form of the inequality
    • (
      9
      x
      +
      6
      		)
      ≥
      (
      6
      x
      −
      9
      		)
      ,
      x
      ∈
      Z
    • is
  • (i)
    x
    >
    (
    −
    16
    3
    		)
    ,
    x
    ∈
    Z
  • (ii)
    x
    <
    (
    −
    16
    3
    		)
    ,
    x
    ∈
    Z
  • (iii)
    x
    ≥
    (
    −
    14
    3
    		)
    ,
    x
    ∈
    Z
  • (iv)
    x
    ≥
    (
    −
    5
    		)
    ,
    x
    ∈
    Z
  • (v)
    x
    ≤
    (
    −
    14
    3
    		)
    ,
    x
    ∈
    Z
Question 48
48.
Which of the following statements are true?
a)
Adding same number on both sides does not change the inequality
b)
Multiplying same negative number on both sides does not change the inequality
c)
Dividing same positive number on both sides does not change the inequality
d)
Dividing same negative number on both sides does not change the inequality
e)
Subtracting same number on both sides does not change the inequality
f)
Multiplying same positive number on both sides does not change the inequality
  • (i)
    {a,c,e,f}
  • (ii)
    {b,d,e}
  • (iii)
    {d,c}
  • (iv)
    {b,f,a}
  • (v)
    {b,a}
Question 49
49.
    • Which of the following inequations is not the same as
    • (
      9
      x
      +
      2
      		)
      <
      (
      −
      6
      x
      +
      2
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    −
    63
    x
    −
    14
    		)
    >
    (
    42
    x
    −
    14
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    −
    9
    x
    −
    2
    		)
    >
    (
    6
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    −
    72
    x
    −
    16
    		)
    >
    (
    48
    x
    −
    16
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    −
    9
    x
    −
    2
    		)
    <
    (
    −
    54
    x
    +
    18
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    81
    x
    +
    18
    		)
    <
    (
    −
    54
    x
    +
    18
    		)
    ,
    x
    ∈
    Z
Question 50
50.
    • Which of the following inequations is not the same as
    • (
      4
      x
      −
      6
      		)
      ≤
      (
      2
      x
      +
      3
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    4
    x
    −
    6
    		)
    ≤
    (
    2
    x
    +
    3
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    24
    x
    −
    36
    		)
    ≤
    (
    12
    x
    +
    18
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    12
    x
    −
    18
    		)
    ≤
    (
    −
    12
    x
    −
    18
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    −
    24
    x
    +
    36
    		)
    ≥
    (
    −
    12
    x
    −
    18
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    12
    x
    −
    18
    		)
    ≤
    (
    6
    x
    +
    9
    		)
    ,
    x
    ∈
    Z
Question 51
51.
    • Which of the following inequations is not the same as
    • (
      −
      8
      x
      +
      8
      		)
      >
      (
      −
      2
      x
      +
      7
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    32
    x
    −
    32
    		)
    <
    (
    8
    x
    −
    28
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    −
    40
    x
    +
    40
    		)
    >
    (
    2
    x
    −
    7
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    72
    x
    −
    72
    		)
    <
    (
    18
    x
    −
    63
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    −
    40
    x
    +
    40
    		)
    >
    (
    −
    10
    x
    +
    35
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    8
    x
    −
    8
    		)
    <
    (
    2
    x
    −
    7
    		)
    ,
    x
    ∈
    Z
Question 52
52.
    • Which of the following inequations is not the same as
    • (
      6
      x
      +
      6
      		)
      ≥
      (
      5
      x
      +
      6
      		)
      ,
      x
      ∈
      Z
  • (i)
    (
    42
    x
    +
    42
    		)
    ≥
    (
    35
    x
    +
    42
    		)
    ,
    x
    ∈
    Z
  • (ii)
    (
    −
    12
    x
    −
    12
    		)
    ≤
    (
    −
    10
    x
    −
    12
    		)
    ,
    x
    ∈
    Z
  • (iii)
    (
    12
    x
    +
    12
    		)
    ≥
    (
    10
    x
    +
    12
    		)
    ,
    x
    ∈
    Z
  • (iv)
    (
    −
    42
    x
    −
    42
    		)
    ≤
    (
    −
    35
    x
    −
    42
    		)
    ,
    x
    ∈
    Z
  • (v)
    (
    12
    x
    +
    12
    		)
    ≥
    (
    −
    10
    x
    −
    12
    		)
    ,
    x
    ∈
    Z
Question 53
53.
    • Find the solution set of given inequality
    • (
      −
      x
      −
      6
      		)
      <
      0
      ,
      x
      ∈
      Z
  • (i)
    {-5,-4,-3,-2,...}
  • (ii)
    {-6,-7,-8,-9,...}
  • (iii)
    {-7,-8,-9,-10,...}
  • (iv)
    {-6,-5,-4,-3,...}
Question 54
54.
    • Find the solution set of given inequality
    • (
      −
      5
      x
      −
      40
      		)
      >
      0
      ,
      x
      ∈
      Z
  • (i)
    {-8,-9,-10,-11,...}
  • (ii)
    {-9,-10,-11,-12,...}
  • (iii)
    {-8,-7,-6,-5,...}
  • (iv)
    {-7,-6,-5,-4,...}
Question 55
55.
    • Find the solution set of given inequality
    • (
      x
      −
      8
      		)
      ≤
      0
      ,
      x
      ∈
      Z
  • (i)
    {8,7,6,5,...}
  • (ii)
    {7,6,5,4,...}
  • (iii)
    {8,9,10,11,...}
  • (iv)
    {9,10,11,12,...}
Question 56
56.
    • Find the solution set of given inequality
    • (
      −
      x
      +
      5
      		)
      ≥
      0
      ,
      x
      ∈
      Z
  • (i)
    {5,4,3,2,...}
  • (ii)
    {4,3,2,1,...}
  • (iii)
    {5,6,7,8,...}
  • (iv)
    {6,7,8,9,...}
Question 57
57.
    • Find the solution set of
    • 2
      <
      (
      −
      5
      x
      −
      9
      		)
      <
      27
      ,
      x
      ∈
      Z
  • (i)
    {-1,-2,-3,-4,-5}
  • (ii)
    {-4,-5,-6,-7,-8}
  • (iii)
    {-2,-3,-4,-5,-6}
  • (iv)
    {-3,-4,-5,-6,-7}
  • (v)
    {-5,-6,-7,-8,-9}
Question 58
58.
    • Find the solution set of
    • (
      −
      3
      		)
      >
      (
      6
      x
      +
      2
      		)
      >
      (
      −
      29
      		)
      ,
      x
      ∈
      Z
  • (i)
    {-2,-3,-4,-5,-6}
  • (ii)
    {0,-1,-2,-3,-4}
  • (iii)
    {1,0,-1,-2,-3}
  • (iv)
    {-1,-2,-3,-4,-5}
  • (v)
    {-3,-4,-5,-6,-7}
Question 59
59.
    • Find the solution set of
    • 3
      ≤
      (
      8
      x
      +
      7
      		)
      ≤
      15
      ,
      x
      ∈
      Z
  • (i)
    {2,3}
  • (ii)
    {-2,-1}
  • (iii)
    {0,1}
  • (iv)
    {1,2}
  • (v)
    {-1,0}
Question 60
60.
    • Find the solution set of
    • (
      −
      13
      		)
      ≥
      (
      −
      6
      x
      +
      4
      		)
      ≥
      (
      −
      27
      		)
      ,
      x
      ∈
      Z
  • (i)
    {3,4,5}
  • (ii)
    {5,6,7}
  • (iii)
    {2,3,4}
  • (iv)
    {1,2,3}
  • (v)
    {4,5,6}
Question 61
61.
    • Find the solution set of
    • (
      −
      1
      		)
      <
      (
      8
      x
      +
      8
      		)
      ≤
      11
      ,
      x
      ∈
      Z
  • (i)
    {1,2}
  • (ii)
    {-1,0}
  • (iii)
    {-3,-2}
  • (iv)
    {-2,-1}
  • (v)
    {0,1}
Question 62
62.
    • Find the solution set of
    • 3
      >
      (
      6
      x
      +
      4
      		)
      ≥
      (
      −
      23
      		)
      ,
      x
      ∈
      Z
  • (i)
    {-1,-2,-3,-4}
  • (ii)
    {1,0,-1,-2}
  • (iii)
    {0,-1,-2,-3}
  • (iv)
    {-3,-4,-5,-6}
  • (v)
    {-2,-3,-4,-5}
Question 63
63.
    • Find the solution set of
    • 12
      ≤
      (
      3
      x
      +
      1
      		)
      <
      29
      ,
      x
      ∈
      Z
  • (i)
    {4,5,6,7,8,9}
  • (ii)
    {3,4,5,6,7,8}
  • (iii)
    {6,7,8,9,10,11}
  • (iv)
    {2,3,4,5,6,7}
  • (v)
    {5,6,7,8,9,10}
Question 64
64.
    • Find the solution set of
    • 1
      ≥
      (
      −
      4
      x
      +
      6
      		)
      >
      (
      −
      15
      		)
      ,
      x
      ∈
      Z
  • (i)
    {1,2,3,4}
  • (ii)
    {2,3,4,5}
  • (iii)
    {4,5,6,7}
  • (iv)
    {0,1,2,3}
  • (v)
    {3,4,5,6}
    Assignment Key
  •  1) (iii)
  •  2) (iv)
  •  3) (i)
  •  4) (i)
  •  5) (ii)
  •  6) (i)
  •  7) (iv)
  •  8) (ii)
  •  9) (iv)
  •  10) (iv)
  •  11) (ii)
  •  12) (iv)
  •  13) (i)
  •  14) (ii)
  •  15) (iii)
  •  16) (iv)
  •  17) (iv)
  •  18) (v)
  •  19) (iv)
  •  20) (ii)
  •  21) (ii)
  •  22) (i)
  •  23) (i)
  •  24) (i)
  •  25) (iii)
  •  26) (i)
  •  27) (ii)
  •  28) (ii)
  •  29) (i)
  •  30) (iv)
  •  31) (v)
  •  32) (iv)
  •  33) (ii)
  •  34) (iii)
  •  35) (i)
  •  36) (iv)
  •  37) (iii)
  •  38) (ii)
  •  39) (i)
  •  40) (ii)
  •  41) (iii)
  •  42) (iv)
  •  43) (i)
  •  44) (ii)
  •  45) (iii)
  •  46) (iv)
  •  47) (iv)
  •  48) (i)
  •  49) (iv)
  •  50) (iii)
  •  51) (ii)
  •  52) (v)
  •  53) (i)
  •  54) (ii)
  •  55) (i)
  •  56) (i)
  •  57) (iv)
  •  58) (iv)
  •  59) (iii)
  •  60) (i)
  •  61) (ii)
  •  62) (i)
  •  63) (i)
  •  64) (ii)