ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Linear Inequations
Question 1
1.
    • Find the solution set for the given inequation
    • (
      −
      2
      x
      +
      8
      		)
      >
      0
      ,
      where the replacement set is
      {6,5,4,3,2,1,0}
  • {3,2,1,0}
  • {4,3,2,1,0}
  • {3,2,1,0,-1}
  • {5,6,7,8,9}
  • {4,5,6,7,8}
Question 2
2.
    • Which of the following inequations is the same as
    • (
      −
      3
      x
      −
      9
      		)
      >
      (
      4
      x
      +
      7
      		)
      ,
      x
      ∈
      Z
  • (
    −
    3
    x
    −
    9
    		)
    >
    (
    x
    +
    11
    		)
    ,
    x
    ∈
    Z
  • (
    −
    6
    x
    −
    5
    		)
    >
    (
    x
    +
    11
    		)
    ,
    x
    ∈
    Z
  • (
    −
    6
    x
    −
    5
    		)
    <
    (
    4
    x
    +
    7
    		)
    ,
    x
    ∈
    Z
  • (
    −
    3
    x
    −
    9
    		)
    <
    (
    x
    +
    11
    		)
    ,
    x
    ∈
    Z
  • (
    −
    6
    x
    −
    5
    		)
    >
    (
    4
    x
    +
    7
    		)
    ,
    x
    ∈
    Z
Question 3
3.
    • Identify the solution for the inequality
    • (
      7
      x
      −
      7
      		)
      ≥
      0
      ,
      x
      ∈
      Z
  • II
  • I
  • III
  • IV
Question 4
4.
    • Identify the solution for the inequality
    • (
      −
      5
      x
      −
      40
      		)
      ≤
      0
      ,
      x
      ∈
      Z
  • I
  • II
  • IV
  • III
Question 5
5.
    • The solution set of the inequality
    • (
      6
      x
      −
      9
      		)
      ≤
      7
      ,
      x
      ∈
      Z
    • is
  • {0,-1,-2,-3,-4,...}
  • {2,1,0,-1,-2,...}
  • {3,4,5,6,7,...}
  • {-2,-1,0,1,2,...}
Question 6
6.
    • Which of the following inequations is the same as
    • (
      5
      x
      +
      8
      		)
      ≤
      (
      7
      x
      +
      6
      		)
      ,
      x
      ∈
      Z
  • (
    −
    2
    x
    +
    5
    		)
    >
    (
    7
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
  • (
    5
    x
    +
    8
    		)
    >
    3
    ,
    x
    ∈
    Z
  • (
    −
    2
    x
    +
    5
    		)
    <
    (
    7
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
  • (
    5
    x
    +
    8
    		)
    <
    3
    ,
    x
    ∈
    Z
  • (
    −
    2
    x
    +
    5
    		)
    ≤
    3
    ,
    x
    ∈
    Z
Question 7
7.
    • Solve the inequation
    • (
      −
      8
      x
      −
      72
      		)
      ≥
      0
      ,
      x
      ∈
      Z
  • {-10,-11,-12,-13,-14,...}
  • {-9,-8,-7,-6,-5,...}
  • {-9,-10,-11,-12,-13,...}
  • {-8,-7,-6,-5,-4,...}
Question 8
8.
    • The solution set of the inequality
    • (
      −
      3
      x
      −
      3
      		)
      <
      (
      −
      6
      x
      −
      6
      		)
      ,
      x
      ∈
      Z
    • is
  • {-1,0,1,2,3,...}
  • {-1,-2,-3,-4,-5,...}
  • {-2,-3,-4,-5,-6,...}
  • {0,1,2,3,4,...}
Question 9
9.
    • Solve the inequation
    • (
      x
      −
      1
      		)
      >
      0
      ,
      x
      ∈
      Z
  • {2,3,4,5,6,...}
  • {1,0,-1,-2,-3,...}
  • {0,-1,-2,-3,-4,...}
  • {1,2,3,4,5,...}
Question 10
10.
    • The simplified form of the inequality
    • 3
      x
      <
      (
      2
      x
      +
      3
      		)
      ,
      x
      ∈
      Z
    • is
  • x
    >
    2
    ,
    x
    ∈
    Z
  • x
    ≤
    4
    ,
    x
    ∈
    Z
  • x
    <
    2
    ,
    x
    ∈
    Z
  • x
    ≥
    4
    ,
    x
    ∈
    Z
  • x
    <
    3
    ,
    x
    ∈
    Z