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 inequations is the same as
    • (
      −
      6
      x
      +
      1
      		)
      ≥
      (
      6
      x
      +
      1
      		)
      ,
      x
      ∈
      Z
  • (
    −
    12
    x
    −
    1
    		)
    >
    (
    6
    x
    +
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    6
    x
    +
    1
    		)
    >
    (
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    12
    x
    −
    1
    		)
    ≥
    (
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    12
    x
    −
    1
    		)
    <
    (
    6
    x
    +
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    6
    x
    +
    1
    		)
    <
    (
    −
    1
    		)
    ,
    x
    ∈
    Z
Question 2
2.
    • The solution set of the inequality
    • (
      3
      x
      −
      9
      		)
      <
      3
      ,
      x
      ∈
      Z
    • is
  • {5,6,7,8,9,...}
  • {-1,-2,-3,-4,-5,...}
  • {-4,-5,-6,-7,-8,...}
  • {3,2,1,0,-1,...}
  • {4,5,6,7,8,...}
Question 3
3.
    • Find the solution set of
    • (
      −
      3
      		)
      ≥
      (
      −
      8
      x
      +
      6
      		)
      ≥
      (
      −
      15
      		)
      ,
      x
      ∈
      Z
  • {3}
  • {4}
  • {1}
  • {0}
  • {2}
Question 4
4.
    • Identify the solution for the inequality
    • (
      −
      3
      x
      +
      24
      		)
      >
      0
      ,
      x
      ∈
      N
  • I
  • II
  • III
  • IV
Question 5
5.
    • Find the solution set for the given inequation
    • (
      x
      −
      3
      		)
      ≤
      0
      ,
      where the replacement set is
      {6,5,4,3,2,1,0}
  • {3,4,5,6,7}
  • {3,2,1,0}
  • {3,2,1,0,-1}
  • {4,5,6,7,8}
  • {2,1,0,-1,-2}
Question 6
6.
    • Identify the solution for the inequality
    • 14
      ≤
      (
      7
      x
      −
      8
      		)
      ≤
      27
      ,
      x
      ∈
      Z
  • I
  • II
  • IV
  • III
Question 7
7.
    • Which of the following inequations is the same as
    • (
      9
      x
      +
      8
      		)
      >
      (
      −
      2
      x
      −
      7
      		)
      ,
      x
      ∈
      Z
  • (
    9
    x
    +
    8
    		)
    <
    (
    −
    4
    x
    −
    14
    		)
    ,
    x
    ∈
    Z
  • (
    18
    x
    +
    16
    		)
    <
    (
    −
    2
    x
    −
    7
    		)
    ,
    x
    ∈
    Z
  • (
    18
    x
    +
    16
    		)
    >
    (
    −
    2
    x
    −
    7
    		)
    ,
    x
    ∈
    Z
  • (
    18
    x
    +
    16
    		)
    >
    (
    −
    4
    x
    −
    14
    		)
    ,
    x
    ∈
    Z
  • (
    9
    x
    +
    8
    		)
    >
    (
    −
    4
    x
    −
    14
    		)
    ,
    x
    ∈
    Z
Question 8
8.
    • Which of the following inequations is the same as
    • (
      7
      x
      +
      8
      		)
      <
      (
      −
      x
      +
      4
      		)
      ,
      x
      ∈
      Z
  • (
    x
    +
    15
    		)
    >
    (
    −
    x
    +
    4
    		)
    ,
    x
    ∈
    Z
  • (
    7
    x
    +
    8
    		)
    >
    (
    −
    7
    x
    +
    11
    		)
    ,
    x
    ∈
    Z
  • (
    7
    x
    +
    8
    		)
    <
    (
    −
    7
    x
    +
    11
    		)
    ,
    x
    ∈
    Z
  • (
    x
    +
    15
    		)
    <
    (
    −
    x
    +
    4
    		)
    ,
    x
    ∈
    Z
  • (
    x
    +
    15
    		)
    <
    (
    −
    7
    x
    +
    11
    		)
    ,
    x
    ∈
    Z
Question 9
9.
    • The simplified form of the inequality
    • (
      2
      x
      +
      5
      		)
      <
      3
      ,
      x
      ∈
      Z
    • is
  • x
    ≤
    (
    −
    1
    2
    		)
    ,
    x
    ∈
    Z
  • x
    >
    (
    −
    3
    2
    		)
    ,
    x
    ∈
    Z
  • x
    <
    (
    −
    3
    2
    		)
    ,
    x
    ∈
    Z
  • x
    <
    (
    −
    1
    		)
    ,
    x
    ∈
    Z
  • x
    ≥
    (
    −
    1
    2
    		)
    ,
    x
    ∈
    Z
Question 10
10.
    • Identify the solution for the inequality
    • (
      −
      44
      		)
      <
      (
      −
      7
      x
      −
      2
      		)
      ≤
      33
      ,
      x
      ∈
      R
  • I
  • III
  • II
  • IV