ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Linear Inequations
Question 1
1.
    • The simplified form of the inequality
    • (
      2
      x
      −
      3
      		)
      <
      (
      −
      6
      		)
      ,
      x
      ∈
      Z
    • is
  • x
    >
    (
    −
    2
    		)
    ,
    x
    ∈
    Z
  • x
    ≤
    (
    −
    1
    		)
    ,
    x
    ∈
    Z
  • x
    <
    (
    −
    2
    		)
    ,
    x
    ∈
    Z
  • x
    ≥
    (
    −
    1
    		)
    ,
    x
    ∈
    Z
  • x
    <
    (
    −
    3
    2
    		)
    ,
    x
    ∈
    Z
Question 2
2.
Which of the following is an inequation?
  • (
    5
    x
    +
    8
    		)
    =
    0
  • (
    9
    x
    +
    2
    		)
    >
    0
    ,
    x
    ∈
    Z
  • 9
  • (
    2
    x
    +
    8
    		)
Question 3
3.
    • Find the solution set for the given inequation
    • (
      3
      x
      +
      21
      		)
      >
      0
      ,
      where the replacement set is
      {-9,-8,-7,-6,-5,-4,-3}
  • {-6,-5,-4,-3}
  • {-6,-5,-4,-3,-2}
  • {-7,-8,-9,-10,-11}
  • {-8,-9,-10,-11,-12}
  • {-7,-6,-5,-4,-3}
Question 4
4.
    • Which of the following inequations is not the same as
    • (
      −
      4
      x
      −
      6
      		)
      ≤
      (
      −
      8
      x
      −
      1
      		)
      ,
      x
      ∈
      Z
  • (
    −
    12
    x
    −
    6
    		)
    ≤
    (
    −
    16
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    3
    		)
    ≤
    (
    −
    4
    x
    +
    2
    		)
    ,
    x
    ∈
    Z
  • (
    −
    11
    x
    −
    8
    		)
    ≤
    (
    −
    15
    x
    −
    3
    		)
    ,
    x
    ∈
    Z
  • (
    −
    6
    x
    −
    6
    		)
    ≤
    (
    −
    10
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    3
    		)
    ≤
    (
    −
    15
    x
    −
    3
    		)
    ,
    x
    ∈
    Z
Question 5
5.
    • Identify the solution for the inequality
    • (
      −
      5
      x
      −
      40
      		)
      >
      0
      ,
      x
      ∈
      Z
  • I
  • IV
  • III
  • II
Question 6
6.
    • Find the solution set of
    • (
      −
      15
      		)
      ≥
      (
      −
      9
      x
      −
      3
      		)
      >
      (
      −
      26
      		)
      ,
      x
      ∈
      Z
  • {2}
  • {1}
  • {0}
  • {3}
  • {4}
Question 7
7.
    • Which of the following inequations is not the same as
    • (
      −
      2
      x
      +
      6
      		)
      <
      (
      −
      7
      x
      +
      3
      		)
      ,
      x
      ∈
      Z
  • (
    x
    +
    2
    		)
    <
    (
    −
    4
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    2
    x
    +
    13
    		)
    <
    (
    −
    3
    x
    +
    10
    		)
    ,
    x
    ∈
    Z
  • (
    5
    x
    +
    3
    		)
    <
    0
    ,
    x
    ∈
    Z
  • (
    −
    3
    x
    +
    1
    		)
    <
    (
    −
    8
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
  • (
    2
    x
    +
    13
    		)
    <
    (
    −
    4
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
Question 8
8.
    • Which of the following inequations is not the same as
    • (
      −
      9
      x
      −
      8
      		)
      <
      (
      3
      x
      +
      9
      		)
      ,
      x
      ∈
      Z
  • (
    −
    36
    x
    −
    32
    		)
    <
    (
    12
    x
    +
    36
    		)
    ,
    x
    ∈
    Z
  • (
    27
    x
    +
    24
    		)
    >
    (
    −
    9
    x
    −
    27
    		)
    ,
    x
    ∈
    Z
  • (
    9
    x
    +
    8
    		)
    <
    (
    3
    x
    +
    9
    		)
    ,
    x
    ∈
    Z
  • (
    9
    x
    +
    8
    		)
    >
    (
    −
    3
    x
    −
    9
    		)
    ,
    x
    ∈
    Z
  • (
    −
    9
    x
    −
    8
    		)
    <
    (
    3
    x
    +
    9
    		)
    ,
    x
    ∈
    Z
Question 9
9.
    • Which of the following inequations is the same as
    • (
      8
      x
      +
      3
      		)
      ≥
      (
      −
      x
      −
      6
      		)
      ,
      x
      ∈
      Z
  • (
    4
    x
    +
    8
    		)
    ≥
    (
    −
    5
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    8
    x
    +
    3
    		)
    <
    (
    −
    5
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    4
    x
    +
    8
    		)
    <
    (
    −
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    8
    x
    +
    3
    		)
    >
    (
    −
    5
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    4
    x
    +
    8
    		)
    >
    (
    −
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
Question 10
10.
    • Identify the solution for the inequality
    • (
      −
      3
      x
      −
      12
      		)
      ≤
      0
      ,
      x
      ∈
      Z
  • IV
  • II
  • I
  • III