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
    • {5,6,7,8,9,10,...}
  • II
  • I
  • IV
  • III
Question 2
2.
    • The solution set of the inequality
    • (
      −
      3
      x
      +
      1
      		)
      ≤
      (
      −
      6
      x
      +
      2
      		)
      ,
      x
      ∈
      Z
    • is
  • {1,2,3,4,5,...}
  • {0,-1,-2,-3,-4,...}
  • {11,12,13,14,15,...}
Question 3
3.
    • Which of the following inequations is not the same as
    • (
      −
      5
      x
      −
      1
      		)
      <
      (
      −
      7
      x
      +
      7
      		)
      ,
      x
      ∈
      Z
  • (
    −
    35
    x
    −
    7
    		)
    <
    (
    −
    49
    x
    +
    49
    		)
    ,
    x
    ∈
    Z
  • (
    −
    30
    x
    −
    6
    		)
    <
    (
    −
    42
    x
    +
    42
    		)
    ,
    x
    ∈
    Z
  • (
    5
    x
    +
    1
    		)
    >
    (
    7
    x
    −
    7
    		)
    ,
    x
    ∈
    Z
  • (
    5
    x
    +
    1
    		)
    <
    (
    −
    35
    x
    +
    35
    		)
    ,
    x
    ∈
    Z
  • (
    −
    25
    x
    −
    5
    		)
    <
    (
    −
    35
    x
    +
    35
    		)
    ,
    x
    ∈
    Z
Question 4
4.
    • Which of the following inequations is not the same as
    • (
      6
      x
      +
      4
      		)
      ≤
      (
      2
      x
      −
      5
      		)
      ,
      x
      ∈
      Z
  • (
    4
    x
    +
    3
    		)
    ≤
    (
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    9
    x
    −
    1
    		)
    ≤
    (
    5
    x
    −
    10
    		)
    ,
    x
    ∈
    Z
  • (
    3
    x
    +
    1
    		)
    ≤
    (
    −
    2
    x
    −
    13
    		)
    ,
    x
    ∈
    Z
  • (
    3
    x
    +
    1
    		)
    ≤
    (
    −
    x
    −
    8
    		)
    ,
    x
    ∈
    Z
  • (
    2
    x
    −
    4
    		)
    ≤
    (
    −
    2
    x
    −
    13
    		)
    ,
    x
    ∈
    Z
Question 5
5.
    • Find the solution set for the given inequation
    • (
      4
      x
      −
      24
      		)
      >
      0
      ,
      where the replacement set is
      {4,5,6,7,8,9,10}
  • {7,8,9,10}
  • {5,4,3,2,1}
  • {7,8,9,10,11}
  • {6,5,4,3,2}
  • {6,7,8,9,10}
Question 6
6.
    • Identify the solution for the inequality
    • 6
      >
      (
      4
      x
      −
      2
      		)
      >
      (
      −
      18
      		)
      ,
      x
      ∈
      Z
  • II
  • IV
  • I
  • III
Question 7
7.
    • Identify the solution for the inequality
    • (
      −
      27
      		)
      ≤
      (
      4
      x
      +
      1
      		)
      ≤
      (
      −
      15
      		)
      ,
      x
      ∈
      R
  • II
  • III
  • IV
  • I
Question 8
8.
    • Solve the inequation
    • (
      −
      9
      x
      +
      54
      		)
      ≥
      0
      ,
      x
      ∈
      Z
  • {7,8,9,10,11,...}
  • {6,5,4,3,2,...}
  • {5,4,3,2,1,...}
  • {6,7,8,9,10,...}
Question 9
9.
    • Find the solution set of given inequality
    • (
      x
      +
      8
      		)
      >
      0
      ,
      x
      ∈
      Z
  • {-7,-6,-5,-4,...}
  • {-8,-7,-6,-5,...}
  • {-9,-10,-11,-12,...}
  • {-8,-9,-10,-11,...}
Question 10
10.
    • Solve the inequation
    • (
      8
      x
      +
      8
      		)
      >
      0
      ,
      x
      ∈
      Z
  • {-1,-2,-3,-4,-5,...}
  • {-1,0,1,2,3,...}
  • {-2,-3,-4,-5,-6,...}
  • {0,1,2,3,4,...}