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