ICSE Board Practice

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