ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Linear Inequations
Question 1
1.
    • The simplified form of the inequality
    • (
      −
      2
      x
      −
      6
      		)
      ≥
      (
      9
      x
      −
      1
      		)
      ,
      x
      ∈
      Z
    • is
  • x
    ≥
    (
    −
    6
    11
    		)
    ,
    x
    ∈
    Z
  • x
    >
    (
    −
    4
    11
    		)
    ,
    x
    ∈
    Z
  • x
    ≤
    (
    −
    6
    11
    		)
    ,
    x
    ∈
    Z
  • x
    <
    (
    −
    4
    11
    		)
    ,
    x
    ∈
    Z
  • x
    ≤
    (
    −
    5
    11
    		)
    ,
    x
    ∈
    Z
Question 2
2.
    • Which of the following inequations is not the same as
    • (
      5
      x
      −
      8
      		)
      ≤
      (
      −
      2
      x
      −
      2
      		)
      ,
      x
      ∈
      Z
  • (
    10
    x
    −
    17
    		)
    ≤
    (
    3
    x
    −
    11
    		)
    ,
    x
    ∈
    Z
  • (
    −
    2
    x
    −
    14
    		)
    ≤
    (
    −
    9
    x
    −
    8
    		)
    ,
    x
    ∈
    Z
  • (
    10
    x
    −
    17
    		)
    ≤
    (
    −
    8
    x
    +
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    x
    −
    5
    		)
    ≤
    (
    −
    8
    x
    +
    1
    		)
    ,
    x
    ∈
    Z
  • (
    13
    x
    −
    4
    		)
    ≤
    (
    6
    x
    +
    2
    		)
    ,
    x
    ∈
    Z
Question 3
3.
    • Find the solution set of
    • 1
      ≥
      (
      8
      x
      −
      9
      		)
      ≥
      (
      −
      27
      		)
      ,
      x
      ∈
      Z
  • {0,-1,-2,-3}
  • {-1,-2,-3,-4}
  • {1,0,-1,-2}
  • {3,2,1,0}
  • {2,1,0,-1}
Question 4
4.
    • Which of the following inequations is the same as
    • (
      5
      x
      −
      7
      		)
      ≤
      (
      −
      6
      x
      −
      1
      		)
      ,
      x
      ∈
      Z
  • (
    5
    x
    −
    7
    		)
    <
    (
    −
    2
    x
    −
    5
    		)
    ,
    x
    ∈
    Z
  • (
    9
    x
    −
    11
    		)
    ≤
    (
    −
    2
    x
    −
    5
    		)
    ,
    x
    ∈
    Z
  • (
    9
    x
    −
    11
    		)
    >
    (
    −
    6
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    5
    x
    −
    7
    		)
    >
    (
    −
    2
    x
    −
    5
    		)
    ,
    x
    ∈
    Z
  • (
    9
    x
    −
    11
    		)
    <
    (
    −
    6
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
Question 5
5.
    • The simplified form of the inequality
    • (
      −
      2
      x
      −
      6
      		)
      ≤
      (
      −
      2
      		)
      ,
      x
      ∈
      Z
    • is
  • x
    ≥
    (
    −
    5
    2
    		)
    ,
    x
    ∈
    Z
  • x
    ≤
    (
    −
    5
    2
    		)
    ,
    x
    ∈
    Z
  • x
    >
    (
    −
    3
    2
    		)
    ,
    x
    ∈
    Z
  • x
    <
    (
    −
    3
    2
    		)
    ,
    x
    ∈
    Z
  • x
    ≥
    (
    −
    2
    		)
    ,
    x
    ∈
    Z
Question 6
6.
    • Which of the following inequations is not the same as
    • (
      7
      x
      +
      1
      		)
      <
      (
      −
      4
      x
      +
      4
      		)
      ,
      x
      ∈
      Z
  • (
    −
    14
    x
    −
    2
    		)
    >
    (
    8
    x
    −
    8
    		)
    ,
    x
    ∈
    Z
  • (
    49
    x
    +
    7
    		)
    <
    (
    −
    28
    x
    +
    28
    		)
    ,
    x
    ∈
    Z
  • (
    35
    x
    +
    5
    		)
    <
    (
    −
    20
    x
    +
    20
    		)
    ,
    x
    ∈
    Z
  • (
    −
    42
    x
    −
    6
    		)
    >
    (
    24
    x
    −
    24
    		)
    ,
    x
    ∈
    Z
  • (
    49
    x
    +
    7
    		)
    <
    (
    −
    20
    x
    +
    20
    		)
    ,
    x
    ∈
    Z
Question 7
7.
    • Which of the following inequations is not the same as
    • (
      8
      x
      +
      6
      		)
      <
      (
      x
      +
      9
      		)
      ,
      x
      ∈
      Z
  • (
    2
    x
    +
    3
    		)
    <
    (
    −
    5
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
  • (
    2
    x
    +
    3
    		)
    <
    (
    −
    5
    x
    +
    3
    		)
    ,
    x
    ∈
    Z
  • (
    14
    x
    +
    7
    		)
    <
    (
    7
    x
    +
    10
    		)
    ,
    x
    ∈
    Z
  • 2
    x
    <
    (
    −
    5
    x
    +
    3
    		)
    ,
    x
    ∈
    Z
  • (
    4
    x
    +
    8
    		)
    <
    (
    −
    3
    x
    +
    11
    		)
    ,
    x
    ∈
    Z
Question 8
8.
    • Find the solution set of
    • 14
      <
      9
      x
      ≤
      25
      ,
      x
      ∈
      Z
  • {1}
  • {0}
  • {4}
  • {3}
  • {2}
Question 9
9.
    • Find the solution set for the given inequation
    • (
      −
      2
      x
      		)
      <
      0
      ,
      where the replacement set is
      {-2,-1,0,1,2,3,4}
  • {0,1,2,3,4}
  • {0,-1,-2,-3,-4}
  • {1,2,3,4,5}
  • {-1,-2,-3,-4,-5}
  • {1,2,3,4}
Question 10
10.
    • Which of the following inequations is the same as
    • (
      −
      8
      x
      +
      7
      		)
      ≥
      (
      2
      x
      +
      8
      		)
      ,
      x
      ∈
      Z
  • (
    72
    x
    −
    63
    		)
    >
    (
    2
    x
    +
    8
    		)
    ,
    x
    ∈
    Z
  • (
    −
    8
    x
    +
    7
    		)
    <
    (
    −
    18
    x
    −
    72
    		)
    ,
    x
    ∈
    Z
  • (
    −
    8
    x
    +
    7
    		)
    >
    (
    −
    18
    x
    −
    72
    		)
    ,
    x
    ∈
    Z
  • (
    72
    x
    −
    63
    		)
    <
    (
    2
    x
    +
    8
    		)
    ,
    x
    ∈
    Z
  • (
    72
    x
    −
    63
    		)
    ≤
    (
    −
    18
    x
    −
    72
    		)
    ,
    x
    ∈
    Z