ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Linear Inequations
Question 1
1.
    • Identify the solution for the inequality
    • 1
      ≥
      (
      4
      x
      −
      6
      		)
      ≥
      (
      −
      23
      		)
      ,
      x
      ∈
      Z
  • IV
  • II
  • I
  • III
Question 2
2.
    • Which of the following inequations is the same as
    • (
      x
      −
      7
      		)
      ≥
      (
      8
      x
      +
      8
      		)
      ,
      x
      ∈
      Z
  • (
    −
    3
    x
    +
    21
    		)
    ≤
    (
    −
    24
    x
    −
    24
    		)
    ,
    x
    ∈
    Z
  • (
    x
    −
    7
    		)
    <
    (
    −
    24
    x
    −
    24
    		)
    ,
    x
    ∈
    Z
  • (
    −
    3
    x
    +
    21
    		)
    >
    (
    8
    x
    +
    8
    		)
    ,
    x
    ∈
    Z
  • (
    x
    −
    7
    		)
    >
    (
    −
    24
    x
    −
    24
    		)
    ,
    x
    ∈
    Z
  • (
    −
    3
    x
    +
    21
    		)
    <
    (
    8
    x
    +
    8
    		)
    ,
    x
    ∈
    Z
Question 3
3.
    • Which of the following inequations is the same as
    • 5
      x
      ≤
      (
      −
      5
      x
      +
      9
      		)
      ,
      x
      ∈
      Z
  • 3
    <
    (
    −
    5
    x
    +
    9
    		)
    ,
    x
    ∈
    Z
  • 3
    ≤
    (
    −
    10
    x
    +
    12
    		)
    ,
    x
    ∈
    Z
  • 3
    >
    (
    −
    5
    x
    +
    9
    		)
    ,
    x
    ∈
    Z
  • 5
    x
    <
    (
    −
    10
    x
    +
    12
    		)
    ,
    x
    ∈
    Z
  • 5
    x
    >
    (
    −
    10
    x
    +
    12
    		)
    ,
    x
    ∈
    Z
Question 4
4.
    • Which of the following figures represents the solution set
    • {5,4,3,2,1,0,...}
  • II
  • I
  • III
  • IV
Question 5
5.
    • Identify the solution for the inequality
    • 2
      x
      >
      0
      ,
      x
      ∈
      Z
  • II
  • IV
  • I
  • III
Question 6
6.
    • Find the solution set for the given inequation
    • (
      −
      9
      x
      		)
      ≥
      0
      ,
      where the replacement set is
      {3,2,1,0,-1,-2,-3}
  • {0,-1,-2,-3}
  • {0,1,2,3,4}
  • {-1,-2,-3,-4,-5}
  • {0,-1,-2,-3,-4}
  • {1,2,3,4,5}
Question 7
7.
    • Which of the following inequations is the same as
    • (
      −
      7
      x
      −
      5
      		)
      <
      (
      −
      6
      x
      +
      6
      		)
      ,
      x
      ∈
      Z
  • (
    21
    x
    +
    15
    		)
    >
    (
    18
    x
    −
    18
    		)
    ,
    x
    ∈
    Z
  • (
    −
    7
    x
    −
    5
    		)
    <
    (
    18
    x
    −
    18
    		)
    ,
    x
    ∈
    Z
  • (
    21
    x
    +
    15
    		)
    <
    (
    −
    6
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
  • (
    21
    x
    +
    15
    		)
    >
    (
    −
    6
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
  • (
    −
    7
    x
    −
    5
    		)
    >
    (
    18
    x
    −
    18
    		)
    ,
    x
    ∈
    Z
Question 8
8.
    • Which of the following inequations is not the same as
    • (
      8
      x
      +
      4
      		)
      >
      (
      −
      x
      −
      2
      		)
      ,
      x
      ∈
      Z
  • (
    56
    x
    +
    28
    		)
    >
    (
    −
    7
    x
    −
    14
    		)
    ,
    x
    ∈
    Z
  • (
    8
    x
    +
    4
    		)
    >
    (
    −
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
  • (
    −
    48
    x
    −
    24
    		)
    >
    (
    9
    x
    +
    18
    		)
    ,
    x
    ∈
    Z
  • (
    −
    48
    x
    −
    24
    		)
    <
    (
    6
    x
    +
    12
    		)
    ,
    x
    ∈
    Z
  • (
    −
    72
    x
    −
    36
    		)
    <
    (
    9
    x
    +
    18
    		)
    ,
    x
    ∈
    Z
Question 9
9.
    • Which of the following inequations is the same as
    • (
      9
      x
      +
      9
      		)
      ≤
      (
      −
      8
      x
      −
      6
      		)
      ,
      x
      ∈
      Z
  • (
    81
    x
    +
    81
    		)
    ≤
    (
    −
    72
    x
    −
    54
    		)
    ,
    x
    ∈
    Z
  • (
    81
    x
    +
    81
    		)
    <
    (
    −
    8
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    9
    x
    +
    9
    		)
    <
    (
    −
    72
    x
    −
    54
    		)
    ,
    x
    ∈
    Z
  • (
    9
    x
    +
    9
    		)
    >
    (
    −
    72
    x
    −
    54
    		)
    ,
    x
    ∈
    Z
  • (
    81
    x
    +
    81
    		)
    >
    (
    −
    8
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
Question 10
10.
    • Which of the following inequations is the same as
    • (
      −
      4
      x
      −
      5
      		)
      ≥
      (
      −
      7
      x
      −
      1
      		)
      ,
      x
      ∈
      Z
  • (
    −
    13
    x
    −
    10
    		)
    <
    (
    −
    7
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    13
    x
    −
    10
    		)
    >
    (
    −
    7
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    4
    x
    −
    5
    		)
    >
    (
    −
    16
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    −
    4
    x
    −
    5
    		)
    <
    (
    −
    16
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    −
    13
    x
    −
    10
    		)
    ≥
    (
    −
    16
    x
    −
    6
    		)
    ,
    x
    ∈
    Z