ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Linear Inequations
Question 1
1.
    • Solve the inequation
    • (
      x
      −
      6
      		)
      <
      0
      ,
      x
      ∈
      Z
  • {5,4,3,2,1,...}
  • {6,5,4,3,2,...}
  • {7,8,9,10,11,...}
  • {6,7,8,9,10,...}
Question 2
2.
    • Which of the following inequations is the same as
    • (
      −
      5
      x
      +
      3
      		)
      <
      (
      7
      x
      +
      6
      		)
      ,
      x
      ∈
      Z
  • (
    −
    35
    x
    +
    21
    		)
    <
    (
    49
    x
    +
    42
    		)
    ,
    x
    ∈
    Z
  • (
    −
    5
    x
    +
    3
    		)
    >
    (
    49
    x
    +
    42
    		)
    ,
    x
    ∈
    Z
  • (
    −
    5
    x
    +
    3
    		)
    <
    (
    49
    x
    +
    42
    		)
    ,
    x
    ∈
    Z
  • (
    −
    35
    x
    +
    21
    		)
    >
    (
    7
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
  • (
    −
    35
    x
    +
    21
    		)
    <
    (
    7
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
Question 3
3.
    • Identify the solution for the inequality
    • (
      8
      x
      +
      72
      		)
      ≥
      0
      ,
      x
      ∈
      Z
  • III
  • I
  • II
  • IV
Question 4
4.
    • Find the solution set of
    • 2
      >
      (
      2
      x
      +
      6
      		)
      ≥
      (
      −
      10
      		)
      ,
      x
      ∈
      Z
  • {-1,-2,-3,-4,-5,-6}
  • {-3,-4,-5,-6,-7,-8}
  • {-2,-3,-4,-5,-6,-7}
  • {-4,-5,-6,-7,-8,-9}
  • {-5,-6,-7,-8,-9,-10}
Question 5
5.
    • The simplified form of the inequality
    • 5
      x
      ≥
      9
      ,
      x
      ∈
      Z
    • is
  • x
    ≥
    2
    ,
    x
    ∈
    Z
  • x
    >
    8
    5
    ,
    x
    ∈
    Z
  • x
    ≤
    2
    ,
    x
    ∈
    Z
  • x
    <
    8
    5
    ,
    x
    ∈
    Z
  • x
    ≥
    9
    5
    ,
    x
    ∈
    Z
Question 6
6.
    • Find the solution set of
    • (
      −
      5
      		)
      ≥
      (
      −
      9
      x
      −
      9
      		)
      ≥
      (
      −
      16
      		)
      ,
      x
      ∈
      Z
  • {-2}
  • {0}
  • {2}
  • {-1}
  • {1}
Question 7
7.
    • The simplified form of the inequality
    • 3
      x
      ≤
      x
      ,
      x
      ∈
      Z
    • is
  • x
    ≥
    1
    2
    ,
    x
    ∈
    Z
  • x
    >
    (
    −
    1
    2
    		)
    ,
    x
    ∈
    Z
  • x
    ≤
    1
    2
    ,
    x
    ∈
    Z
  • x
    ≤
    0
    ,
    x
    ∈
    Z
  • x
    <
    (
    −
    1
    2
    		)
    ,
    x
    ∈
    Z
Question 8
8.
    • The solution set of the inequality
    • (
      2
      x
      −
      6
      		)
      >
      (
      −
      3
      		)
      ,
      x
      ∈
      Z
    • is
  • {0,-1,-2,-3,-4,...}
  • {2,3,4,5,6,...}
  • {1,0,-1,-2,-3,...}
Question 9
9.
    • Which of the following figures represents the solution set
    • {7,8,9,10,11,12,...}
  • II
  • III
  • IV
  • I
Question 10
10.
    • Solve the inequation
    • (
      −
      4
      x
      +
      12
      		)
      ≥
      0
      ,
      x
      ∈
      Z
  • {2,1,0,-1,-2,...}
  • {3,4,5,6,7,...}
  • {4,5,6,7,8,...}
  • {3,2,1,0,-1,...}