EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Inequations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following inequations is not the same as
(
−
6
x
+
5
)
>
(
−
x
+
4
)
,
x
∈
Z
(i)
(
18
x
−
15
)
<
(
3
x
−
12
)
,
x
∈
Z
(ii)
(
−
6
x
+
5
)
>
(
−
x
+
4
)
,
x
∈
Z
(iii)
(
30
x
−
25
)
<
(
5
x
−
20
)
,
x
∈
Z
(iv)
(
6
x
−
5
)
>
(
5
x
−
20
)
,
x
∈
Z
(v)
(
6
x
−
5
)
<
(
x
−
4
)
,
x
∈
Z
Question
2
2.
Which of the following inequations is the same as
(
−
3
x
−
7
)
≤
(
−
5
x
+
4
)
,
x
∈
Z
(i)
5
x
>
(
−
5
x
+
4
)
,
x
∈
Z
(ii)
5
x
<
(
−
5
x
+
4
)
,
x
∈
Z
(iii)
5
x
≤
(
3
x
+
11
)
,
x
∈
Z
(iv)
(
−
3
x
−
7
)
>
(
3
x
+
11
)
,
x
∈
Z
(v)
(
−
3
x
−
7
)
<
(
3
x
+
11
)
,
x
∈
Z
Question
3
3.
The solution set of the inequality
(
2
x
−
4
)
>
(
5
x
−
8
)
,
x
∈
Z
is
(i)
{0,-1,-2,-3,-4,...}
(ii)
{1,0,-1,-2,-3,...}
(iii)
{2,3,4,5,6,...}
Question
4
4.
The simplified form of the inequality
(
−
6
x
−
8
)
≥
(
−
9
)
,
x
∈
Z
is
(i)
x
≤
0
,
x
∈
Z
(ii)
x
≥
0
,
x
∈
Z
(iii)
x
≤
1
6
,
x
∈
Z
(iv)
x
>
1
3
,
x
∈
Z
(v)
x
<
1
3
,
x
∈
Z
Question
5
5.
Which of the following inequations is not the same as
(
−
4
x
−
6
)
≤
(
6
x
+
9
)
,
x
∈
Z
(i)
(
−
11
x
−
11
)
≤
(
−
x
+
4
)
,
x
∈
Z
(ii)
(
−
11
x
−
11
)
≤
(
11
x
+
1
)
,
x
∈
Z
(iii)
(
x
−
5
)
≤
(
11
x
+
10
)
,
x
∈
Z
(iv)
(
−
x
−
14
)
≤
(
9
x
+
1
)
,
x
∈
Z
(v)
(
x
−
14
)
≤
(
11
x
+
1
)
,
x
∈
Z
Question
6
6.
Find the solution set of given inequality
(
5
x
−
20
)
≥
0
,
x
∈
Z
(i)
{5,6,7,8,...}
(ii)
{4,3,2,1,...}
(iii)
{3,2,1,0,...}
(iv)
{4,5,6,7,...}
Question
7
7.
Which of the following inequations is not the same as
(
3
x
−
2
)
>
(
x
−
3
)
,
x
∈
Z
(i)
(
5
x
−
9
)
>
(
3
x
−
10
)
,
x
∈
Z
(ii)
(
−
4
x
+
4
)
>
(
−
6
x
+
3
)
,
x
∈
Z
(iii)
(
−
x
−
5
)
>
(
−
6
x
+
3
)
,
x
∈
Z
(iv)
(
−
x
−
5
)
>
(
−
3
x
−
6
)
,
x
∈
Z
(v)
(
4
x
−
8
)
>
(
2
x
−
9
)
,
x
∈
Z
Question
8
8.
Find the solution set of
4
>
(
7
x
+
7
)
>
(
−
23
)
,
x
∈
Z
(i)
{-2,-3,-4,-5}
(ii)
{1,0,-1,-2}
(iii)
{0,-1,-2,-3}
(iv)
{-1,-2,-3,-4}
(v)
{-3,-4,-5,-6}
Question
9
9.
Solve the inequation
(
5
x
+
20
)
>
0
,
x
∈
Z
(i)
{-5,-6,-7,-8,-9,...}
(ii)
{-3,-2,-1,0,1,...}
(iii)
{-4,-5,-6,-7,-8,...}
(iv)
{-4,-3,-2,-1,0,...}
Question
10
10.
Which of the following figures represents the solution set
{1,2,3,4,5,6,...}
(i)
IV
(ii)
II
(iii)
III
(iv)
I
Question
11
11.
Identify the solution for the inequality
6
≥
(
7
x
−
9
)
>
(
−
21
)
,
x
∈
Z
(i)
IV
(ii)
II
(iii)
I
(iv)
III
Question
12
12.
Identify the solution for the inequality
(
−
9
x
+
18
)
>
0
,
x
∈
Z
(i)
II
(ii)
IV
(iii)
I
(iv)
III
Question
13
13.
Find the solution set of
7
<
4
x
<
23
,
x
∈
Z
(i)
{0,1,2,3}
(ii)
{1,2,3,4}
(iii)
{4,5,6,7}
(iv)
{2,3,4,5}
(v)
{3,4,5,6}
Question
14
14.
Which of the following inequations is not the same as
(
−
7
x
−
2
)
<
(
4
x
+
1
)
,
x
∈
Z
(i)
(
−
11
x
)
<
3
,
x
∈
Z
(ii)
(
−
13
x
+
2
)
<
(
−
2
x
+
5
)
,
x
∈
Z
(iii)
(
−
3
x
+
6
)
<
(
5
x
+
9
)
,
x
∈
Z
(iv)
(
−
6
x
+
6
)
<
(
5
x
+
9
)
,
x
∈
Z
(v)
(
−
3
x
+
6
)
<
(
8
x
+
9
)
,
x
∈
Z
Question
15
15.
Identify the solution for the inequality
(
−
2
x
+
16
)
≤
0
,
x
∈
N
(i)
II
(ii)
I
(iii)
IV
(iv)
III
Question
16
16.
Find the solution set of
(
−
4
)
<
(
−
6
x
−
8
)
≤
22
,
x
∈
Z
(i)
{-2,-3,-4,-5,-6}
(ii)
{-3,-4,-5,-6,-7}
(iii)
{1,0,-1,-2,-3}
(iv)
{-1,-2,-3,-4,-5}
(v)
{0,-1,-2,-3,-4}
Question
17
17.
Identify the solution for the inequality
(
−
16
)
<
(
−
7
x
−
6
)
<
11
,
x
∈
Z
(i)
II
(ii)
III
(iii)
IV
(iv)
I
Question
18
18.
Identify the solution for the inequality
1
≤
6
x
<
15
,
x
∈
Z
(i)
III
(ii)
IV
(iii)
II
(iv)
I
Question
19
19.
Which of the following inequations is the same as
(
3
x
+
7
)
≤
(
9
x
+
8
)
,
x
∈
Z
(i)
(
3
x
+
7
)
>
(
17
x
+
13
)
,
x
∈
Z
(ii)
(
3
x
+
7
)
<
(
17
x
+
13
)
,
x
∈
Z
(iii)
(
11
x
+
12
)
≤
(
17
x
+
13
)
,
x
∈
Z
(iv)
(
11
x
+
12
)
<
(
9
x
+
8
)
,
x
∈
Z
(v)
(
11
x
+
12
)
>
(
9
x
+
8
)
,
x
∈
Z
Question
20
20.
Find the solution set of
(
−
3
)
≤
(
x
−
2
)
≤
6
,
x
∈
Z
(i)
{-3,-2,-1,0,1,2,3,4,5,6}
(ii)
{0,1,2,3,4,5,6,7,8,9}
(iii)
{-2,-1,0,1,2,3,4,5,6,7}
(iv)
{-1,0,1,2,3,4,5,6,7,8}
(v)
{1,2,3,4,5,6,7,8,9,10}
Question
21
21.
The simplified form of the inequality
(
5
x
+
5
)
<
(
−
x
+
2
)
,
x
∈
Z
is
(i)
x
>
(
−
2
3
)
,
x
∈
Z
(ii)
x
<
(
−
2
3
)
,
x
∈
Z
(iii)
x
<
(
−
1
2
)
,
x
∈
Z
(iv)
x
≤
(
−
1
3
)
,
x
∈
Z
(v)
x
≥
(
−
1
3
)
,
x
∈
Z
Question
22
22.
Find the solution set for the given inequation
(
−
9
x
−
45
)
≤
0
,
where the replacement set is
{-8,-7,-6,-5,-4,-3,-2}
(i)
{-6,-7,-8,-9,-10}
(ii)
{-4,-3,-2,-1,0}
(iii)
{-5,-4,-3,-2}
(iv)
{-5,-6,-7,-8,-9}
(v)
{-5,-4,-3,-2,-1}
Question
23
23.
Solve the inequation
(
−
8
x
−
40
)
≤
0
,
x
∈
Z
(i)
{-6,-7,-8,-9,-10,...}
(ii)
{-5,-6,-7,-8,-9,...}
(iii)
{-4,-3,-2,-1,0,...}
(iv)
{-5,-4,-3,-2,-1,...}
Question
24
24.
The solution set of the inequality
(
−
7
x
−
5
)
<
(
4
x
−
7
)
,
x
∈
Z
is
(i)
{-4,-5,-6,-7,-8,...}
(ii)
{0,-1,-2,-3,-4,...}
(iii)
{1,2,3,4,5,...}
Question
25
25.
Solve the inequation
(
−
8
x
−
64
)
<
0
,
x
∈
Z
(i)
{-8,-7,-6,-5,-4,...}
(ii)
{-8,-9,-10,-11,-12,...}
(iii)
{-9,-10,-11,-12,-13,...}
(iv)
{-7,-6,-5,-4,-3,...}
Assignment Key
1) (iv)
2) (iii)
3) (ii)
4) (iii)
5) (ii)
6) (iv)
7) (iii)
8) (iv)
9) (ii)
10) (ii)
11) (iv)
12) (ii)
13) (iv)
14) (iii)
15) (i)
16) (iv)
17) (i)
18) (ii)
19) (iii)
20) (iv)
21) (iii)
22) (iii)
23) (iv)
24) (iii)
25) (iv)
