ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Linear Inequations
Question 1
1.
    • Which of the following inequations is not the same as
    • (
      −
      7
      x
      −
      8
      		)
      >
      (
      3
      x
      +
      1
      		)
      ,
      x
      ∈
      Z
  • (
    −
    5
    x
    −
    13
    		)
    >
    (
    5
    x
    −
    4
    		)
    ,
    x
    ∈
    Z
  • (
    −
    12
    x
    −
    9
    		)
    >
    (
    5
    x
    −
    4
    		)
    ,
    x
    ∈
    Z
  • (
    −
    x
    −
    5
    		)
    >
    (
    9
    x
    +
    4
    		)
    ,
    x
    ∈
    Z
  • (
    −
    12
    x
    −
    9
    		)
    >
    (
    −
    2
    x
    		)
    ,
    x
    ∈
    Z
  • (
    −
    12
    x
    −
    2
    		)
    >
    (
    −
    2
    x
    +
    7
    		)
    ,
    x
    ∈
    Z
Question 2
2.
    • Which of the following inequations is not the same as
    • (
      −
      3
      x
      +
      2
      		)
      >
      (
      2
      x
      −
      9
      		)
      ,
      x
      ∈
      Z
  • (
    6
    x
    −
    4
    		)
    <
    (
    −
    4
    x
    +
    18
    		)
    ,
    x
    ∈
    Z
  • (
    15
    x
    −
    10
    		)
    <
    (
    −
    10
    x
    +
    45
    		)
    ,
    x
    ∈
    Z
  • (
    6
    x
    −
    4
    		)
    >
    (
    −
    6
    x
    +
    27
    		)
    ,
    x
    ∈
    Z
  • (
    −
    18
    x
    +
    12
    		)
    >
    (
    12
    x
    −
    54
    		)
    ,
    x
    ∈
    Z
  • (
    9
    x
    −
    6
    		)
    <
    (
    −
    6
    x
    +
    27
    		)
    ,
    x
    ∈
    Z
Question 3
3.
    • Find the solution set of
    • 3
      ≥
      (
      −
      2
      x
      +
      1
      		)
      ≥
      (
      −
      5
      		)
      ,
      x
      ∈
      Z
  • {1,2,3,4,5}
  • {0,1,2,3,4}
  • {-1,0,1,2,3}
  • {-2,-1,0,1,2}
  • {-3,-2,-1,0,1}
Question 4
4.
    • Which of the following figures represents the solution set
    • {3,2,1,0,-1,-2,...}
  • III
  • IV
  • I
  • II
Question 5
5.
    • Which of the following inequations is the same as
    • (
      8
      x
      −
      9
      		)
      ≤
      (
      −
      2
      x
      −
      6
      		)
      ,
      x
      ∈
      Z
  • (
    4
    x
    −
    5
    		)
    ≤
    (
    −
    6
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
  • (
    8
    x
    −
    9
    		)
    <
    (
    −
    6
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
  • (
    8
    x
    −
    9
    		)
    >
    (
    −
    6
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
  • (
    4
    x
    −
    5
    		)
    >
    (
    −
    2
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    4
    x
    −
    5
    		)
    <
    (
    −
    2
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
Question 6
6.
    • Identify the solution for the inequality
    • (
      −
      4
      x
      +
      36
      		)
      ≤
      0
      ,
      x
      ∈
      Z
  • II
  • I
  • III
  • IV
Question 7
7.
    • Find the solution set of
    • 4
      >
      (
      2
      x
      +
      1
      		)
      >
      (
      −
      8
      		)
      ,
      x
      ∈
      Z
  • {3,2,1,0,-1,-2}
  • {0,-1,-2,-3,-4,-5}
  • {1,0,-1,-2,-3,-4}
  • {2,1,0,-1,-2,-3}
  • {-1,-2,-3,-4,-5,-6}
Question 8
8.
    • Find the solution set of
    • (
      −
      8
      		)
      <
      (
      −
      4
      x
      +
      6
      		)
      <
      16
      ,
      x
      ∈
      Z
  • {1,0,-1,-2,-3,-4}
  • {3,2,1,0,-1,-2}
  • {2,1,0,-1,-2,-3}
  • {4,3,2,1,0,-1}
  • {5,4,3,2,1,0}
Question 9
9.
    • Find the solution set of
    • (
      −
      2
      		)
      ≤
      (
      2
      x
      +
      4
      		)
      <
      6
      ,
      x
      ∈
      Z
  • {-3,-2,-1,0}
  • {-2,-1,0,1}
  • {-1,0,1,2}
  • {-5,-4,-3,-2}
  • {-4,-3,-2,-1}
Question 10
10.
    • The solution set of the inequality
    • (
      9
      x
      +
      4
      		)
      >
      (
      −
      1
      		)
      ,
      x
      ∈
      Z
    • is
  • {-1,-2,-3,-4,-5,...}
  • {0,1,2,3,4,...}
  • {0,-1,-2,-3,-4,...}
  • {-4,-5,-6,-7,-8,...}