ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Linear Inequations
Question 1
1.
    • Solve the inequation
    • (
      4
      x
      +
      28
      		)
      ≥
      0
      ,
      x
      ∈
      Z
  • {-8,-9,-10,-11,-12,...}
  • {-7,-8,-9,-10,-11,...}
  • {-7,-6,-5,-4,-3,...}
  • {-6,-5,-4,-3,-2,...}
Question 2
2.
    • Find the solution set of
    • 0
      >
      (
      x
      −
      7
      		)
      ≥
      (
      −
      11
      		)
      ,
      x
      ∈
      Z
  • {4,3,2,1,0,-1,-2,-3,-4,-5,-6}
  • {8,7,6,5,4,3,2,1,0,-1,-2}
  • {7,6,5,4,3,2,1,0,-1,-2,-3}
  • {5,4,3,2,1,0,-1,-2,-3,-4,-5}
  • {6,5,4,3,2,1,0,-1,-2,-3,-4}
Question 3
3.
    • Which of the following inequations is not the same as
    • (
      −
      x
      −
      7
      		)
      ≤
      (
      −
      3
      x
      −
      4
      		)
      ,
      x
      ∈
      Z
  • (
    −
    8
    x
    +
    2
    		)
    ≤
    (
    5
    x
    +
    2
    		)
    ,
    x
    ∈
    Z
  • (
    −
    8
    x
    +
    2
    		)
    ≤
    (
    −
    10
    x
    +
    5
    		)
    ,
    x
    ∈
    Z
  • (
    −
    2
    x
    −
    9
    		)
    ≤
    (
    −
    4
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    −
    5
    x
    −
    16
    		)
    ≤
    (
    −
    7
    x
    −
    13
    		)
    ,
    x
    ∈
    Z
  • (
    7
    x
    −
    1
    		)
    ≤
    (
    5
    x
    +
    2
    		)
    ,
    x
    ∈
    Z
Question 4
4.
    • The simplified form of the inequality
    • (
      −
      6
      x
      −
      4
      		)
      ≤
      2
      ,
      x
      ∈
      Z
    • is
  • x
    >
    (
    −
    5
    6
    		)
    ,
    x
    ∈
    Z
  • x
    <
    (
    −
    5
    6
    		)
    ,
    x
    ∈
    Z
  • x
    ≥
    (
    −
    1
    		)
    ,
    x
    ∈
    Z
  • x
    ≤
    (
    −
    7
    6
    		)
    ,
    x
    ∈
    Z
  • x
    ≥
    (
    −
    7
    6
    		)
    ,
    x
    ∈
    Z
Question 5
5.
    • Which of the following inequations is the same as
    • (
      −
      4
      x
      −
      2
      		)
      ≤
      (
      −
      8
      x
      +
      6
      		)
      ,
      x
      ∈
      Z
  • (
    24
    x
    +
    12
    		)
    >
    (
    −
    8
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
  • (
    −
    4
    x
    −
    2
    		)
    >
    (
    48
    x
    −
    36
    		)
    ,
    x
    ∈
    Z
  • (
    −
    4
    x
    −
    2
    		)
    <
    (
    48
    x
    −
    36
    		)
    ,
    x
    ∈
    Z
  • (
    24
    x
    +
    12
    		)
    ≥
    (
    48
    x
    −
    36
    		)
    ,
    x
    ∈
    Z
  • (
    24
    x
    +
    12
    		)
    <
    (
    −
    8
    x
    +
    6
    		)
    ,
    x
    ∈
    Z
Question 6
6.
    • Which of the following inequations is not the same as
    • (
      −
      8
      x
      −
      1
      		)
      >
      (
      8
      x
      +
      6
      		)
      ,
      x
      ∈
      Z
  • (
    −
    16
    x
    −
    2
    		)
    >
    (
    24
    x
    +
    18
    		)
    ,
    x
    ∈
    Z
  • (
    −
    24
    x
    −
    3
    		)
    >
    (
    24
    x
    +
    18
    		)
    ,
    x
    ∈
    Z
  • (
    −
    48
    x
    −
    6
    		)
    >
    (
    48
    x
    +
    36
    		)
    ,
    x
    ∈
    Z
  • (
    −
    16
    x
    −
    2
    		)
    >
    (
    16
    x
    +
    12
    		)
    ,
    x
    ∈
    Z
  • (
    −
    56
    x
    −
    7
    		)
    >
    (
    56
    x
    +
    42
    		)
    ,
    x
    ∈
    Z
Question 7
7.
    • The simplified form of the inequality
    • (
      2
      x
      −
      5
      		)
      <
      (
      6
      x
      −
      2
      		)
      ,
      x
      ∈
      Z
    • is
  • x
    >
    (
    −
    1
    2
    		)
    ,
    x
    ∈
    Z
  • x
    ≥
    (
    −
    1
    		)
    ,
    x
    ∈
    Z
  • x
    <
    (
    −
    1
    2
    		)
    ,
    x
    ∈
    Z
  • x
    ≤
    (
    −
    1
    		)
    ,
    x
    ∈
    Z
  • x
    >
    (
    −
    3
    4
    		)
    ,
    x
    ∈
    Z
Question 8
8.
    • The simplified form of the inequality
    • (
      6
      x
      −
      4
      		)
      >
      (
      −
      7
      x
      −
      5
      		)
      ,
      x
      ∈
      Z
    • is
  • x
    <
    (
    −
    2
    13
    		)
    ,
    x
    ∈
    Z
  • x
    >
    (
    −
    1
    13
    		)
    ,
    x
    ∈
    Z
  • x
    ≤
    0
    ,
    x
    ∈
    Z
  • x
    >
    (
    −
    2
    13
    		)
    ,
    x
    ∈
    Z
  • x
    ≥
    0
    ,
    x
    ∈
    Z
Question 9
9.
    • Which of the following inequations is the same as
    • (
      x
      −
      6
      		)
      <
      (
      6
      x
      +
      3
      		)
      ,
      x
      ∈
      Z
  • (
    x
    −
    6
    		)
    >
    (
    8
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    3
    x
    −
    15
    		)
    <
    (
    6
    x
    +
    3
    		)
    ,
    x
    ∈
    Z
  • (
    3
    x
    −
    15
    		)
    >
    (
    6
    x
    +
    3
    		)
    ,
    x
    ∈
    Z
  • (
    3
    x
    −
    15
    		)
    <
    (
    8
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
  • (
    x
    −
    6
    		)
    <
    (
    8
    x
    −
    6
    		)
    ,
    x
    ∈
    Z
Question 10
10.
    • Which of the following inequations is the same as
    • (
      −
      4
      x
      −
      2
      		)
      ≤
      (
      −
      5
      x
      		)
      ,
      x
      ∈
      Z
  • (
    −
    x
    +
    7
    		)
    ≤
    (
    −
    2
    x
    +
    9
    		)
    ,
    x
    ∈
    Z
  • (
    −
    4
    x
    −
    2
    		)
    <
    (
    −
    2
    x
    +
    9
    		)
    ,
    x
    ∈
    Z
  • (
    −
    x
    +
    7
    		)
    >
    (
    −
    5
    x
    		)
    ,
    x
    ∈
    Z
  • (
    −
    4
    x
    −
    2
    		)
    >
    (
    −
    2
    x
    +
    9
    		)
    ,
    x
    ∈
    Z
  • (
    −
    x
    +
    7
    		)
    <
    (
    −
    5
    x
    		)
    ,
    x
    ∈
    Z