ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Linear Inequations
Question 1
1.
    • Which of the following inequations is not the same as
    • (
      −
      8
      x
      −
      5
      		)
      >
      (
      7
      x
      +
      3
      		)
      ,
      x
      ∈
      Z
  • (
    −
    4
    x
    −
    6
    		)
    >
    (
    11
    x
    +
    2
    		)
    ,
    x
    ∈
    Z
  • (
    −
    3
    x
    +
    1
    		)
    >
    (
    12
    x
    +
    9
    		)
    ,
    x
    ∈
    Z
  • (
    −
    9
    x
    +
    1
    		)
    >
    (
    6
    x
    +
    9
    		)
    ,
    x
    ∈
    Z
  • (
    x
    −
    7
    		)
    >
    (
    16
    x
    +
    1
    		)
    ,
    x
    ∈
    Z
  • (
    x
    −
    7
    		)
    >
    (
    11
    x
    +
    2
    		)
    ,
    x
    ∈
    Z
Question 2
2.
    • Which of the following inequations is the same as
    • (
      −
      2
      x
      −
      7
      		)
      ≥
      (
      4
      x
      +
      1
      		)
      ,
      x
      ∈
      Z
  • (
    12
    x
    +
    42
    		)
    <
    (
    4
    x
    +
    1
    		)
    ,
    x
    ∈
    Z
  • (
    12
    x
    +
    42
    		)
    ≤
    (
    −
    24
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    12
    x
    +
    42
    		)
    >
    (
    4
    x
    +
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    2
    x
    −
    7
    		)
    >
    (
    −
    24
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    −
    2
    x
    −
    7
    		)
    <
    (
    −
    24
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
Question 3
3.
    • Which of the following inequations is the same as
    • (
      −
      x
      −
      2
      		)
      >
      (
      −
      6
      x
      +
      6
      		)
      ,
      x
      ∈
      Z
  • (
    9
    x
    +
    18
    		)
    >
    (
    −
    6
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
  • (
    −
    x
    −
    2
    		)
    <
    (
    54
    x
    −
    54
    		)
    ,
    x
    ∈
    Z
  • (
    −
    x
    −
    2
    		)
    >
    (
    54
    x
    −
    54
    		)
    ,
    x
    ∈
    Z
  • (
    9
    x
    +
    18
    		)
    <
    (
    −
    6
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
  • (
    9
    x
    +
    18
    		)
    <
    (
    54
    x
    −
    54
    		)
    ,
    x
    ∈
    Z
Question 4
4.
    • Which of the following inequations is not the same as
    • (
      9
      x
      +
      4
      		)
      ≥
      (
      4
      x
      −
      2
      		)
      ,
      x
      ∈
      Z
  • (
    3
    x
    +
    4
    		)
    ≥
    (
    −
    2
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
  • (
    10
    x
    −
    5
    		)
    ≥
    (
    2
    x
    −
    3
    		)
    ,
    x
    ∈
    Z
  • (
    7
    x
    +
    3
    		)
    ≥
    (
    2
    x
    −
    3
    		)
    ,
    x
    ∈
    Z
  • (
    10
    x
    +
    11
    		)
    ≥
    (
    5
    x
    +
    5
    		)
    ,
    x
    ∈
    Z
  • (
    10
    x
    −
    5
    		)
    ≥
    (
    5
    x
    −
    11
    		)
    ,
    x
    ∈
    Z
Question 5
5.
    • The solution set of the inequality
    • (
      5
      x
      +
      4
      		)
      ≤
      0
      ,
      x
      ∈
      Z
    • is
  • {-1,-2,-3,-4,-5,...}
  • {3,4,5,6,7,...}
  • {2,3,4,5,6,...}
  • {0,1,2,3,4,...}
Question 6
6.
Which of the following is not an inequation?
  • (
    9
    x
    +
    8
    		)
    ≥
    5
    x
    ,
    x
    ∈
    Z
  • (
    −
    8
    x
    −
    6
    		)
    <
    (
    7
    x
    +
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    3
    x
    +
    7
    		)
    ≤
    (
    7
    x
    +
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    4
    x
    −
    1
    		)
    >
    (
    −
    5
    x
    −
    8
    		)
    ,
    x
    ∈
    Z
  • (
    −
    x
    +
    5
    		)
    =
    (
    5
    x
    −
    3
    		)
Question 7
7.
    • Which of the following figures represents the solution set
    • {0,-1,-2,-3,-4,-5,...}
  • II
  • III
  • IV
  • I
Question 8
8.
    • Which of the following inequations is not the same as
    • (
      −
      2
      x
      +
      6
      		)
      ≥
      (
      5
      x
      −
      7
      		)
      ,
      x
      ∈
      Z
  • (
    −
    2
    x
    +
    6
    		)
    ≥
    (
    35
    x
    −
    49
    		)
    ,
    x
    ∈
    Z
  • (
    −
    14
    x
    +
    42
    		)
    ≥
    (
    35
    x
    −
    49
    		)
    ,
    x
    ∈
    Z
  • (
    12
    x
    −
    36
    		)
    ≤
    (
    −
    30
    x
    +
    42
    		)
    ,
    x
    ∈
    Z
  • (
    −
    2
    x
    +
    6
    		)
    ≥
    (
    5
    x
    −
    7
    		)
    ,
    x
    ∈
    Z
  • (
    −
    8
    x
    +
    24
    		)
    ≥
    (
    20
    x
    −
    28
    		)
    ,
    x
    ∈
    Z
Question 9
9.
    • Find the solution set of given inequality
    • (
      −
      4
      x
      +
      12
      		)
      >
      0
      ,
      x
      ∈
      Z
  • {3,4,5,6,...}
  • {4,5,6,7,...}
  • {2,1,0,-1,...}
  • {3,2,1,0,...}
Question 10
10.
    • The simplified form of the inequality
    • (
      2
      x
      −
      8
      		)
      ≤
      (
      −
      5
      		)
      ,
      x
      ∈
      Z
    • is
  • x
    ≥
    2
    ,
    x
    ∈
    Z
  • x
    ≤
    2
    ,
    x
    ∈
    Z
  • x
    ≤
    3
    2
    ,
    x
    ∈
    Z
  • x
    <
    1
    ,
    x
    ∈
    Z
  • x
    >
    1
    ,
    x
    ∈
    Z