ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Linear Inequations
Question 1
1.
    • The simplified form of the inequality
    • (
      −
      9
      x
      −
      5
      		)
      <
      2
      ,
      x
      ∈
      Z
    • is
  • x
    ≤
    (
    −
    8
    9
    		)
    ,
    x
    ∈
    Z
  • x
    <
    (
    −
    2
    3
    		)
    ,
    x
    ∈
    Z
  • x
    ≥
    (
    −
    8
    9
    		)
    ,
    x
    ∈
    Z
  • x
    >
    (
    −
    7
    9
    		)
    ,
    x
    ∈
    Z
  • x
    >
    (
    −
    2
    3
    		)
    ,
    x
    ∈
    Z
Question 2
2.
    • Which of the following inequations is the same as
    • (
      −
      9
      x
      +
      6
      		)
      ≥
      8
      x
      ,
      x
      ∈
      Z
  • (
    −
    54
    x
    +
    36
    		)
    <
    8
    x
    ,
    x
    ∈
    Z
  • (
    −
    54
    x
    +
    36
    		)
    >
    8
    x
    ,
    x
    ∈
    Z
  • (
    −
    54
    x
    +
    36
    		)
    ≥
    48
    x
    ,
    x
    ∈
    Z
  • (
    −
    9
    x
    +
    6
    		)
    >
    48
    x
    ,
    x
    ∈
    Z
  • (
    −
    9
    x
    +
    6
    		)
    <
    48
    x
    ,
    x
    ∈
    Z
Question 3
3.
    • Which of the following inequations is not the same as
    • (
      8
      x
      −
      8
      		)
      >
      (
      7
      x
      −
      7
      		)
      ,
      x
      ∈
      Z
  • (
    6
    x
    −
    17
    		)
    >
    (
    5
    x
    −
    16
    		)
    ,
    x
    ∈
    Z
  • (
    14
    x
    −
    15
    		)
    >
    (
    13
    x
    −
    14
    		)
    ,
    x
    ∈
    Z
  • (
    14
    x
    −
    15
    		)
    >
    (
    10
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    11
    x
    −
    2
    		)
    >
    (
    10
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    7
    x
    −
    16
    		)
    >
    (
    6
    x
    −
    15
    		)
    ,
    x
    ∈
    Z
Question 4
4.
    • Find the solution set of
    • 3
      ≤
      (
      −
      x
      		)
      ≤
      14
      ,
      x
      ∈
      Z
  • {-2,-3,-4,-5,-6,-7,-8,-9,-10,-11,-12,-13}
  • {-4,-5,-6,-7,-8,-9,-10,-11,-12,-13,-14,-15}
  • {-5,-6,-7,-8,-9,-10,-11,-12,-13,-14,-15,-16}
  • {-1,-2,-3,-4,-5,-6,-7,-8,-9,-10,-11,-12}
  • {-3,-4,-5,-6,-7,-8,-9,-10,-11,-12,-13,-14}
Question 5
5.
    • Solve the inequation
    • (
      6
      x
      −
      18
      		)
      >
      0
      ,
      x
      ∈
      Z
  • {3,2,1,0,-1,...}
  • {4,5,6,7,8,...}
  • {2,1,0,-1,-2,...}
  • {3,4,5,6,7,...}
Question 6
6.
    • Which of the following figures represents the solution set of
    • (
      −
      2
      x
      −
      10
      		)
      <
      0
      ,
      x
      ∈
      R
  • IV
  • III
  • II
  • I
Question 7
7.
    • Identify the solution for the inequality
    • 13
      ≤
      (
      5
      x
      +
      1
      		)
      <
      28
      ,
      x
      ∈
      Z
  • III
  • IV
  • I
  • II
Question 8
8.
    • Which of the following figures represents the solution set of
    • (
      7
      x
      +
      49
      		)
      ≥
      0
      ,
      x
      ∈
      R
  • III
  • II
  • I
  • IV
Question 9
9.
    • Which of the following inequations is not the same as
    • (
      x
      −
      4
      		)
      <
      (
      −
      7
      x
      +
      8
      		)
      ,
      x
      ∈
      Z
  • (
    −
    3
    x
    −
    11
    		)
    <
    (
    −
    3
    x
    +
    12
    		)
    ,
    x
    ∈
    Z
  • (
    −
    2
    x
    −
    10
    		)
    <
    (
    −
    10
    x
    +
    2
    		)
    ,
    x
    ∈
    Z
  • 5
    x
    <
    (
    −
    3
    x
    +
    12
    		)
    ,
    x
    ∈
    Z
  • (
    −
    3
    x
    −
    11
    		)
    <
    (
    −
    11
    x
    +
    1
    		)
    ,
    x
    ∈
    Z
  • 8
    x
    <
    12
    ,
    x
    ∈
    Z
Question 10
10.
    • Find the solution set for the given inequation
    • (
      7
      x
      −
      63
      		)
      <
      0
      ,
      where the replacement set is
      {11,10,9,8,7,6,5}
  • {8,7,6,5,4}
  • {9,10,11,12,13}
  • {8,7,6,5}
  • {9,8,7,6,5}
  • {10,11,12,13,14}