ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Linear Inequations
Question 1
1.
    • Find the solution set of
    • (
      −
      6
      		)
      ≤
      (
      3
      x
      +
      3
      		)
      ≤
      11
      ,
      x
      ∈
      Z
  • {-4,-3,-2,-1,0,1}
  • {-2,-1,0,1,2,3}
  • {-5,-4,-3,-2,-1,0}
  • {-1,0,1,2,3,4}
  • {-3,-2,-1,0,1,2}
Question 2
2.
Which of the following is an inequation?
  • (
    2
    x
    +
    9
    		)
    =
    0
  • 3
  • (
    8
    x
    +
    6
    		)
  • (
    2
    x
    −
    8
    		)
    >
    0
    ,
    x
    ∈
    Z
Question 3
3.
    • Which of the following inequations is the same as
    • (
      x
      +
      4
      		)
      ≥
      (
      3
      x
      −
      6
      		)
      ,
      x
      ∈
      Z
  • (
    −
    2
    x
    +
    1
    		)
    <
    (
    3
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    −
    2
    x
    +
    1
    		)
    >
    (
    3
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    x
    +
    4
    		)
    <
    (
    −
    9
    		)
    ,
    x
    ∈
    Z
  • (
    x
    +
    4
    		)
    >
    (
    −
    9
    		)
    ,
    x
    ∈
    Z
  • (
    −
    2
    x
    +
    1
    		)
    ≥
    (
    −
    9
    		)
    ,
    x
    ∈
    Z
Question 4
4.
    • Identify the solution for the inequality
    • (
      6
      x
      −
      54
      		)
      >
      0
      ,
      x
      ∈
      Z
  • IV
  • I
  • III
  • II
Question 5
5.
    • The simplified form of the inequality
    • (
      8
      x
      +
      9
      		)
      >
      (
      9
      x
      −
      1
      		)
      ,
      x
      ∈
      Z
    • is
  • x
    <
    10
    ,
    x
    ∈
    Z
  • x
    ≥
    9
    ,
    x
    ∈
    Z
  • x
    >
    11
    ,
    x
    ∈
    Z
  • x
    ≤
    9
    ,
    x
    ∈
    Z
  • x
    <
    11
    ,
    x
    ∈
    Z
Question 6
6.
    • Solve the inequation
    • (
      3
      x
      −
      3
      		)
      ≤
      0
      ,
      x
      ∈
      Z
  • {0,-1,-2,-3,-4,...}
  • {1,0,-1,-2,-3,...}
  • {1,2,3,4,5,...}
  • {2,3,4,5,6,...}
Question 7
7.
    • Which of the following inequations is the same as
    • (
      6
      x
      +
      4
      		)
      ≤
      (
      x
      −
      4
      		)
      ,
      x
      ∈
      Z
  • (
    6
    x
    +
    4
    		)
    <
    6
    x
    ,
    x
    ∈
    Z
  • (
    6
    x
    +
    4
    		)
    >
    6
    x
    ,
    x
    ∈
    Z
  • (
    11
    x
    +
    8
    		)
    <
    (
    x
    −
    4
    		)
    ,
    x
    ∈
    Z
  • (
    11
    x
    +
    8
    		)
    >
    (
    x
    −
    4
    		)
    ,
    x
    ∈
    Z
  • (
    11
    x
    +
    8
    		)
    ≤
    6
    x
    ,
    x
    ∈
    Z
Question 8
8.
    • Which of the following inequations is the same as
    • (
      −
      5
      x
      −
      2
      		)
      <
      (
      −
      3
      x
      +
      7
      		)
      ,
      x
      ∈
      Z
  • (
    −
    5
    x
    −
    2
    		)
    >
    (
    −
    11
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
  • (
    −
    13
    x
    −
    11
    		)
    <
    (
    −
    3
    x
    +
    7
    		)
    ,
    x
    ∈
    Z
  • (
    −
    5
    x
    −
    2
    		)
    <
    (
    −
    11
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
  • (
    −
    13
    x
    −
    11
    		)
    >
    (
    −
    3
    x
    +
    7
    		)
    ,
    x
    ∈
    Z
  • (
    −
    13
    x
    −
    11
    		)
    <
    (
    −
    11
    x
    −
    2
    		)
    ,
    x
    ∈
    Z
Question 9
9.
    • The solution set of the inequality
    • (
      −
      8
      x
      −
      5
      		)
      ≤
      (
      −
      6
      		)
      ,
      x
      ∈
      Z
    • is
  • {1,2,3,4,5,...}
  • {0,-1,-2,-3,-4,...}
  • {2,1,0,-1,-2,...}
  • {4,5,6,7,8,...}
Question 10
10.
    • Which of the following inequations is not the same as
    • (
      −
      7
      x
      −
      3
      		)
      >
      (
      −
      9
      x
      −
      1
      		)
      ,
      x
      ∈
      Z
  • (
    −
    4
    x
    −
    3
    		)
    >
    (
    −
    6
    x
    −
    1
    		)
    ,
    x
    ∈
    Z
  • (
    −
    11
    x
    +
    6
    		)
    >
    (
    −
    13
    x
    +
    8
    		)
    ,
    x
    ∈
    Z
  • (
    −
    12
    x
    −
    8
    		)
    >
    (
    −
    14
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    −
    10
    x
    −
    6
    		)
    >
    (
    −
    12
    x
    −
    4
    		)
    ,
    x
    ∈
    Z
  • (
    −
    11
    x
    +
    6
    		)
    >
    (
    −
    12
    x
    −
    4
    		)
    ,
    x
    ∈
    Z