ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Linear Inequations
Question 1
1.
    • The simplified form of the inequality
    • (
      6
      x
      −
      8
      		)
      ≤
      (
      −
      5
      x
      +
      3
      		)
      ,
      x
      ∈
      Z
    • is
  • x
    >
    10
    11
    ,
    x
    ∈
    Z
  • x
    ≤
    12
    11
    ,
    x
    ∈
    Z
  • x
    ≤
    1
    ,
    x
    ∈
    Z
  • x
    ≥
    12
    11
    ,
    x
    ∈
    Z
  • x
    <
    10
    11
    ,
    x
    ∈
    Z
Question 2
2.
    • Which of the following inequations is not the same as
    • (
      6
      x
      +
      8
      		)
      >
      (
      −
      5
      x
      +
      5
      		)
      ,
      x
      ∈
      Z
  • (
    7
    x
    +
    13
    		)
    >
    (
    −
    7
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
  • (
    4
    x
    +
    9
    		)
    >
    (
    −
    7
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
  • 12
    x
    >
    (
    x
    −
    3
    		)
    ,
    x
    ∈
    Z
  • (
    7
    x
    +
    13
    		)
    >
    (
    −
    4
    x
    +
    10
    		)
    ,
    x
    ∈
    Z
  • (
    5
    x
    +
    3
    		)
    >
    (
    −
    6
    x
    		)
    ,
    x
    ∈
    Z
Question 3
3.
    • Which of the following figures represents the solution set
    • {-2,-1,0,1,2,3,...}
  • I
  • III
  • II
  • IV
Question 4
4.
    • Which of the following inequations is the same as
    • (
      3
      x
      +
      5
      		)
      >
      (
      −
      6
      x
      −
      6
      		)
      ,
      x
      ∈
      Z
  • (
    −
    21
    x
    −
    35
    		)
    >
    (
    −
    6
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    −
    21
    x
    −
    35
    		)
    <
    (
    −
    6
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    −
    21
    x
    −
    35
    		)
    <
    (
    42
    x
    +
    42
    		)
    ,
    x
    ∈
    Z
  • (
    3
    x
    +
    5
    		)
    >
    (
    42
    x
    +
    42
    		)
    ,
    x
    ∈
    Z
  • (
    3
    x
    +
    5
    		)
    <
    (
    42
    x
    +
    42
    		)
    ,
    x
    ∈
    Z
Question 5
5.
    • Find the solution set of
    • 11
      <
      (
      2
      x
      +
      9
      		)
      ≤
      19
      ,
      x
      ∈
      Z
  • {1,2,3,4}
  • {2,3,4,5}
  • {3,4,5,6}
  • {4,5,6,7}
  • {0,1,2,3}
Question 6
6.
    • Find the solution set of
    • 1
      ≥
      (
      6
      x
      +
      2
      		)
      ≥
      (
      −
      25
      		)
      ,
      x
      ∈
      Z
  • {1,0,-1,-2}
  • {-2,-3,-4,-5}
  • {-1,-2,-3,-4}
  • {-3,-4,-5,-6}
  • {0,-1,-2,-3}
Question 7
7.
    • Which of the following inequations is not the same as
    • (
      −
      x
      +
      5
      		)
      ≤
      (
      −
      9
      x
      +
      2
      		)
      ,
      x
      ∈
      Z
  • (
    4
    x
    +
    7
    		)
    ≤
    (
    −
    4
    x
    +
    4
    		)
    ,
    x
    ∈
    Z
  • (
    8
    x
    −
    2
    		)
    ≤
    (
    −
    5
    		)
    ,
    x
    ∈
    Z
  • (
    −
    5
    x
    +
    2
    		)
    ≤
    (
    −
    13
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    9
    x
    +
    4
    		)
    ≤
    (
    −
    17
    x
    +
    1
    		)
    ,
    x
    ∈
    Z
  • (
    8
    x
    −
    2
    		)
    ≤
    (
    −
    4
    x
    +
    4
    		)
    ,
    x
    ∈
    Z
Question 8
8.
Which of the following is not an inequation?
  • (
    −
    8
    x
    −
    2
    		)
    ≥
    (
    5
    x
    +
    4
    		)
    ,
    x
    ∈
    Z
  • (
    −
    3
    x
    +
    6
    		)
    ≤
    (
    4
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
  • (
    −
    2
    x
    		)
    >
    (
    −
    3
    x
    −
    8
    		)
    ,
    x
    ∈
    Z
  • (
    −
    2
    x
    +
    7
    		)
    <
    2
    x
    ,
    x
    ∈
    Z
  • (
    −
    7
    x
    		)
    =
    (
    7
    x
    −
    7
    		)
Question 9
9.
    • Which of the following inequations is the same as
    • (
      −
      2
      x
      −
      1
      		)
      ≤
      (
      3
      x
      +
      5
      		)
      ,
      x
      ∈
      Z
  • (
    −
    2
    x
    −
    1
    		)
    <
    (
    4
    x
    +
    12
    		)
    ,
    x
    ∈
    Z
  • (
    −
    2
    x
    −
    1
    		)
    >
    (
    4
    x
    +
    12
    		)
    ,
    x
    ∈
    Z
  • (
    −
    x
    +
    6
    		)
    ≤
    (
    4
    x
    +
    12
    		)
    ,
    x
    ∈
    Z
  • (
    −
    x
    +
    6
    		)
    <
    (
    3
    x
    +
    5
    		)
    ,
    x
    ∈
    Z
  • (
    −
    x
    +
    6
    		)
    >
    (
    3
    x
    +
    5
    		)
    ,
    x
    ∈
    Z
Question 10
10.
    • Identify the solution for the inequality
    • (
      −
      2
      		)
      ≤
      (
      −
      6
      x
      −
      4
      		)
      ≤
      24
      ,
      x
      ∈
      Z
  • IV
  • I
  • II
  • III