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
    • (
      4
      x
      +
      24
      		)
      >
      0
      ,
      x
      ∈
      N
  • I
  • IV
  • III
  • II
Question 2
2.
    • The solution set of the inequality
    • (
      6
      x
      −
      5
      		)
      ≤
      (
      4
      x
      +
      6
      		)
      ,
      x
      ∈
      Z
    • is
  • {3,4,5,6,7,...}
  • {-1,-2,-3,-4,-5,...}
  • {6,7,8,9,10,...}
  • {5,4,3,2,1,...}
Question 3
3.
    • Find the solution set of
    • 4
      ≥
      (
      −
      3
      x
      −
      8
      		)
      >
      (
      −
      13
      		)
      ,
      x
      ∈
      Z
  • {-2,-1,0,1,2,3}
  • {-6,-5,-4,-3,-2,-1}
  • {-3,-2,-1,0,1,2}
  • {-4,-3,-2,-1,0,1}
  • {-5,-4,-3,-2,-1,0}
Question 4
4.
    • Identify the solution for the inequality
    • 7
      ≤
      (
      x
      +
      8
      		)
      ≤
      16
      ,
      x
      ∈
      Z
  • IV
  • III
  • II
  • I
Question 5
5.
    • Identify the solution for the inequality
    • (
      −
      9
      x
      +
      36
      		)
      >
      0
      ,
      x
      ∈
      Z
  • I
  • IV
  • III
  • II
Question 6
6.
    • Which of the following inequations is the same as
    • (
      6
      x
      +
      2
      		)
      ≤
      (
      −
      x
      −
      1
      		)
      ,
      x
      ∈
      Z
  • (
    13
    x
    −
    2
    		)
    >
    (
    −
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    6
    x
    +
    2
    		)
    <
    (
    6
    x
    −
    5
    		)
    ,
    x
    ∈
    Z
  • (
    6
    x
    +
    2
    		)
    >
    (
    6
    x
    −
    5
    		)
    ,
    x
    ∈
    Z
  • (
    13
    x
    −
    2
    		)
    <
    (
    −
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    13
    x
    −
    2
    		)
    ≤
    (
    6
    x
    −
    5
    		)
    ,
    x
    ∈
    Z
Question 7
7.
    • The solution set of the inequality
    • (
      2
      x
      −
      4
      		)
      <
      (
      −
      1
      		)
      ,
      x
      ∈
      Z
    • is
  • {2,3,4,5,6,...}
  • {1,0,-1,-2,-3,...}
  • {0,1,2,3,4,...}
  • {6,7,8,9,10,...}
Question 8
8.
    • Find the solution set for the given inequation
    • (
      −
      9
      x
      −
      27
      		)
      >
      0
      ,
      where the replacement set is
      {-1,-2,-3,-4,-5,-6,-7}
  • {-3,-2,-1,0,1}
  • {-2,-1,0,1,2}
  • {-3,-4,-5,-6,-7}
  • {-4,-5,-6,-7}
  • {-4,-5,-6,-7,-8}
Question 9
9.
    • The solution set of the inequality
    • 3
      x
      <
      (
      9
      x
      −
      3
      		)
      ,
      x
      ∈
      Z
    • is
  • {-2,-3,-4,-5,-6,...}
  • {1,0,-1,-2,-3,...}
  • {0,-1,-2,-3,-4,...}
  • {1,2,3,4,5,...}
Question 10
10.
    • Identify the solution for the inequality
    • 4
      <
      (
      −
      4
      x
      −
      9
      		)
      <
      28
      ,
      x
      ∈
      Z
  • I
  • II
  • IV
  • III