ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Linear Inequations
Question 1
1.
    • Find the solution set of given inequality
    • (
      3
      x
      −
      24
      		)
      <
      0
      ,
      x
      ∈
      Z
  • {7,6,5,4,...}
  • {9,10,11,12,...}
  • {8,7,6,5,...}
  • {8,9,10,11,...}
Question 2
2.
    • Identify the solution for the inequality
    • (
      −
      4
      x
      +
      20
      		)
      >
      0
      ,
      x
      ∈
      N
  • III
  • I
  • II
  • IV
Question 3
3.
    • Which of the following inequations is not the same as
    • (
      −
      8
      x
      −
      6
      		)
      >
      (
      −
      7
      x
      +
      9
      		)
      ,
      x
      ∈
      Z
  • (
    −
    9
    x
    −
    3
    		)
    >
    (
    2
    x
    +
    14
    		)
    ,
    x
    ∈
    Z
  • (
    x
    −
    1
    		)
    >
    (
    2
    x
    +
    14
    		)
    ,
    x
    ∈
    Z
  • (
    −
    3
    x
    +
    2
    		)
    >
    (
    −
    2
    x
    +
    17
    		)
    ,
    x
    ∈
    Z
  • (
    −
    9
    x
    −
    3
    		)
    >
    (
    −
    8
    x
    +
    12
    		)
    ,
    x
    ∈
    Z
  • (
    −
    7
    x
    −
    14
    		)
    >
    (
    −
    6
    x
    +
    1
    		)
    ,
    x
    ∈
    Z
Question 4
4.
    • The simplified form of the inequality
    • (
      8
      x
      +
      6
      		)
      >
      6
      ,
      x
      ∈
      Z
    • is
  • x
    ≥
    1
    8
    ,
    x
    ∈
    Z
  • x
    >
    0
    ,
    x
    ∈
    Z
  • x
    <
    (
    −
    1
    8
    		)
    ,
    x
    ∈
    Z
  • x
    ≤
    1
    8
    ,
    x
    ∈
    Z
  • x
    >
    (
    −
    1
    8
    		)
    ,
    x
    ∈
    Z
Question 5
5.
    • Find the solution set for the given inequation
    • (
      −
      6
      x
      −
      54
      		)
      ≤
      0
      ,
      where the replacement set is
      {-12,-11,-10,-9,-8,-7,-6}
  • {-8,-7,-6,-5,-4}
  • {-9,-8,-7,-6,-5}
  • {-9,-8,-7,-6}
  • {-9,-10,-11,-12,-13}
  • {-10,-11,-12,-13,-14}
Question 6
6.
    • Which of the following inequations is not the same as
    • (
      −
      x
      −
      7
      		)
      <
      (
      9
      x
      −
      9
      		)
      ,
      x
      ∈
      Z
  • (
    x
    +
    7
    		)
    >
    (
    −
    9
    x
    +
    9
    		)
    ,
    x
    ∈
    Z
  • (
    −
    x
    −
    7
    		)
    <
    (
    9
    x
    −
    9
    		)
    ,
    x
    ∈
    Z
  • (
    −
    9
    x
    −
    63
    		)
    <
    (
    81
    x
    −
    81
    		)
    ,
    x
    ∈
    Z
  • (
    8
    x
    +
    56
    		)
    >
    (
    −
    72
    x
    +
    72
    		)
    ,
    x
    ∈
    Z
  • (
    8
    x
    +
    56
    		)
    <
    (
    −
    9
    x
    +
    9
    		)
    ,
    x
    ∈
    Z
Question 7
7.
    • Identify the solution for the inequality
    • (
      −
      5
      x
      −
      40
      		)
      >
      0
      ,
      x
      ∈
      Z
  • I
  • IV
  • III
  • II
Question 8
8.
    • Identify the solution for the inequality
    • 0
      <
      (
      −
      8
      x
      −
      5
      		)
      ≤
      28
      ,
      x
      ∈
      Z
  • IV
  • III
  • II
  • I
Question 9
9.
    • Which of the following inequations is the same as
    • (
      3
      x
      −
      2
      		)
      ≥
      (
      −
      9
      x
      +
      8
      		)
      ,
      x
      ∈
      Z
  • (
    7
    x
    +
    5
    		)
    <
    (
    −
    9
    x
    +
    8
    		)
    ,
    x
    ∈
    Z
  • (
    7
    x
    +
    5
    		)
    ≥
    (
    −
    5
    x
    +
    15
    		)
    ,
    x
    ∈
    Z
  • (
    3
    x
    −
    2
    		)
    >
    (
    −
    5
    x
    +
    15
    		)
    ,
    x
    ∈
    Z
  • (
    3
    x
    −
    2
    		)
    <
    (
    −
    5
    x
    +
    15
    		)
    ,
    x
    ∈
    Z
  • (
    7
    x
    +
    5
    		)
    >
    (
    −
    9
    x
    +
    8
    		)
    ,
    x
    ∈
    Z
Question 10
10.
    • The solution set of the inequality
    • (
      −
      x
      −
      6
      		)
      >
      (
      −
      5
      x
      −
      6
      		)
      ,
      x
      ∈
      Z
    • is
  • {1,2,3,4,5,...}
  • {0,1,2,3,4,...}
  • {-1,-2,-3,-4,-5,...}
  • {0,-1,-2,-3,-4,...}