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
    • (
      −
      5
      x
      −
      2
      		)
      >
      (
      8
      x
      +
      2
      		)
      ,
      x
      ∈
      Z
  • (
    −
    30
    x
    −
    12
    		)
    >
    (
    48
    x
    +
    12
    		)
    ,
    x
    ∈
    Z
  • (
    15
    x
    +
    6
    		)
    <
    (
    −
    24
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    −
    10
    x
    −
    4
    		)
    >
    (
    16
    x
    +
    4
    		)
    ,
    x
    ∈
    Z
  • (
    40
    x
    +
    16
    		)
    <
    (
    −
    64
    x
    −
    16
    		)
    ,
    x
    ∈
    Z
  • (
    15
    x
    +
    6
    		)
    >
    (
    16
    x
    +
    4
    		)
    ,
    x
    ∈
    Z
Question 2
2.
    • Which of the following figures represents the solution set
    • {-3,-2,-1,0,1,2,...}
  • III
  • II
  • I
  • IV
Question 3
3.
    • Find the solution set for the given inequation
    • (
      3
      x
      −
      27
      		)
      <
      0
      ,
      where the replacement set is
      {11,10,9,8,7,6,5}
  • {9,10,11,12,13}
  • {8,7,6,5}
  • {10,11,12,13,14}
  • {8,7,6,5,4}
  • {9,8,7,6,5}
Question 4
4.
    • Which of the following inequations is not the same as
    • (
      7
      x
      +
      1
      		)
      ≤
      (
      3
      x
      +
      1
      		)
      ,
      x
      ∈
      Z
  • (
    −
    6
    		)
    ≤
    (
    −
    4
    x
    −
    7
    		)
    ,
    x
    ∈
    Z
  • (
    −
    2
    		)
    ≤
    (
    −
    4
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
  • (
    −
    6
    		)
    ≤
    (
    −
    4
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    2
    x
    +
    9
    		)
    ≤
    (
    −
    2
    x
    +
    9
    		)
    ,
    x
    ∈
    Z
  • (
    −
    7
    		)
    ≤
    (
    −
    4
    x
    −
    7
    		)
    ,
    x
    ∈
    Z
Question 5
5.
    • The simplified form of the inequality
    • 5
      x
      ≤
      (
      x
      −
      4
      		)
      ,
      x
      ∈
      Z
    • is
  • x
    ≥
    (
    −
    3
    4
    		)
    ,
    x
    ∈
    Z
  • x
    >
    (
    −
    5
    4
    		)
    ,
    x
    ∈
    Z
  • x
    <
    (
    −
    5
    4
    		)
    ,
    x
    ∈
    Z
  • x
    ≤
    (
    −
    3
    4
    		)
    ,
    x
    ∈
    Z
  • x
    ≤
    (
    −
    1
    		)
    ,
    x
    ∈
    Z
Question 6
6.
    • The solution set of the inequality
    • 7
      x
      >
      (
      −
      6
      		)
      ,
      x
      ∈
      Z
    • is
  • {-1,-2,-3,-4,-5,...}
  • {-4,-5,-6,-7,-8,...}
  • {1,2,3,4,5,...}
  • {0,1,2,3,4,...}
Question 7
7.
    • Which of the following inequations is the same as
    • (
      2
      x
      +
      3
      		)
      <
      (
      7
      x
      −
      1
      		)
      ,
      x
      ∈
      Z
  • (
    2
    x
    +
    3
    		)
    >
    (
    −
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    6
    x
    +
    3
    		)
    >
    (
    7
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    6
    x
    +
    3
    		)
    <
    (
    −
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    6
    x
    +
    3
    		)
    <
    (
    7
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    2
    x
    +
    3
    		)
    <
    (
    −
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
Question 8
8.
    • Find the solution set of
    • 1
      <
      (
      9
      x
      −
      2
      		)
      <
      12
      ,
      x
      ∈
      Z
  • {1}
  • {3}
  • {0}
  • {2}
  • {-1}
Question 9
9.
    • Which of the following figures represents the solution set
    • {-1,-2,-3,-4,-5,-6,...}
  • IV
  • II
  • I
  • III
Question 10
10.
    • Which of the following inequations is not the same as
    • (
      −
      4
      x
      		)
      ≤
      (
      9
      x
      +
      3
      		)
      ,
      x
      ∈
      Z
  • (
    −
    20
    x
    		)
    ≤
    (
    45
    x
    +
    15
    		)
    ,
    x
    ∈
    Z
  • (
    −
    16
    x
    		)
    ≤
    (
    36
    x
    +
    12
    		)
    ,
    x
    ∈
    Z
  • (
    −
    16
    x
    		)
    ≤
    (
    54
    x
    +
    18
    		)
    ,
    x
    ∈
    Z
  • (
    −
    24
    x
    		)
    ≤
    (
    54
    x
    +
    18
    		)
    ,
    x
    ∈
    Z
  • 16
    x
    ≥
    (
    −
    36
    x
    −
    12
    		)
    ,
    x
    ∈
    Z