ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Linear Inequations
Question 1
1.
    • Which of the following figures represents the solution set
    • {-4,-5,-6,-7,-8,-9,...}
  • II
  • I
  • III
  • IV
Question 2
2.
    • The solution set of the inequality
    • (
      −
      8
      x
      +
      8
      		)
      <
      (
      x
      +
      4
      		)
      ,
      x
      ∈
      Z
    • is
  • {0,-1,-2,-3,-4,...}
  • {-2,-3,-4,-5,-6,...}
  • {1,2,3,4,5,...}
  • {0,1,2,3,4,...}
Question 3
3.
    • Identify the solution for the inequality
    • (
      −
      16
      		)
      ≤
      (
      −
      3
      x
      −
      4
      		)
      <
      17
      ,
      x
      ∈
      R
  • IV
  • III
  • II
  • I
Question 4
4.
    • Find the solution set of
    • 0
      ≤
      (
      −
      5
      x
      +
      9
      		)
      <
      25
      ,
      x
      ∈
      Z
  • {3,2,1,0,-1}
  • {2,1,0,-1,-2}
  • {1,0,-1,-2,-3}
  • {0,-1,-2,-3,-4}
  • {-1,-2,-3,-4,-5}
Question 5
5.
    • Which of the following inequations is not the same as
    • (
      −
      x
      −
      5
      		)
      ≤
      (
      −
      4
      x
      +
      6
      		)
      ,
      x
      ∈
      Z
  • (
    8
    x
    +
    40
    		)
    ≤
    (
    −
    12
    x
    +
    18
    		)
    ,
    x
    ∈
    Z
  • (
    6
    x
    +
    30
    		)
    ≥
    (
    24
    x
    −
    36
    		)
    ,
    x
    ∈
    Z
  • (
    −
    3
    x
    −
    15
    		)
    ≤
    (
    −
    12
    x
    +
    18
    		)
    ,
    x
    ∈
    Z
  • (
    8
    x
    +
    40
    		)
    ≥
    (
    32
    x
    −
    48
    		)
    ,
    x
    ∈
    Z
  • (
    −
    6
    x
    −
    30
    		)
    ≤
    (
    −
    24
    x
    +
    36
    		)
    ,
    x
    ∈
    Z
Question 6
6.
    • Which of the following inequations is not the same as
    • (
      6
      x
      +
      9
      		)
      ≥
      (
      2
      x
      −
      2
      		)
      ,
      x
      ∈
      Z
  • (
    −
    3
    x
    +
    17
    		)
    ≥
    (
    7
    x
    +
    3
    		)
    ,
    x
    ∈
    Z
  • (
    2
    x
    +
    12
    		)
    ≥
    (
    −
    2
    x
    +
    1
    		)
    ,
    x
    ∈
    Z
  • (
    11
    x
    +
    14
    		)
    ≥
    (
    7
    x
    +
    3
    		)
    ,
    x
    ∈
    Z
  • (
    −
    2
    x
    +
    14
    		)
    ≥
    (
    −
    6
    x
    +
    3
    		)
    ,
    x
    ∈
    Z
  • (
    −
    3
    x
    +
    17
    		)
    ≥
    (
    −
    7
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
Question 7
7.
    • Which of the following figures represents the solution set of
    • (
      −
      4
      x
      −
      16
      		)
      ≤
      0
      ,
      x
      ∈
      R
  • IV
  • II
  • III
  • I
Question 8
8.
    • The simplified form of the inequality
    • (
      −
      3
      x
      −
      3
      		)
      <
      (
      −
      2
      		)
      ,
      x
      ∈
      Z
    • is
  • x
    <
    0
    ,
    x
    ∈
    Z
  • x
    >
    0
    ,
    x
    ∈
    Z
  • x
    >
    (
    −
    1
    3
    		)
    ,
    x
    ∈
    Z
  • x
    ≤
    (
    −
    2
    3
    		)
    ,
    x
    ∈
    Z
  • x
    ≥
    (
    −
    2
    3
    		)
    ,
    x
    ∈
    Z
Question 9
9.
    • The solution set of the inequality
    • (
      3
      x
      −
      2
      		)
      <
      0
      ,
      x
      ∈
      Z
    • is
  • {1,2,3,4,5,...}
  • {1,0,-1,-2,-3,...}
  • {0,-1,-2,-3,-4,...}
  • {2,3,4,5,6,...}
Question 10
10.
    • Identify the solution for the inequality
    • 5
      ≤
      (
      −
      3
      x
      −
      7
      		)
      ≤
      20
      ,
      x
      ∈
      R
  • I
  • II
  • IV
  • III