EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Inequations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find the solution set of
(
−
2
)
≥
(
−
6
x
+
2
)
≥
(
−
16
)
,
x
∈
Z
(i)
{2,3,4}
(ii)
{-1,0,1}
(iii)
{3,4,5}
(iv)
{0,1,2}
(v)
{1,2,3}
Question
2
2.
Identify the solution for the inequality
7
≤
(
3
x
+
1
)
<
24
,
x
∈
Z
(i)
I
(ii)
IV
(iii)
II
(iv)
III
Question
3
3.
Which of the following inequations is the same as
(
6
x
+
2
)
>
(
−
9
x
+
3
)
,
x
∈
Z
(i)
(
2
x
−
2
)
>
(
−
9
x
+
3
)
,
x
∈
Z
(ii)
(
6
x
+
2
)
<
(
−
13
x
−
1
)
,
x
∈
Z
(iii)
(
2
x
−
2
)
>
(
−
13
x
−
1
)
,
x
∈
Z
(iv)
(
2
x
−
2
)
<
(
−
9
x
+
3
)
,
x
∈
Z
(v)
(
6
x
+
2
)
>
(
−
13
x
−
1
)
,
x
∈
Z
Question
4
4.
Identify the solution for the inequality
5
<
(
9
x
+
4
)
<
16
,
x
∈
Z
(i)
IV
(ii)
I
(iii)
II
(iv)
III
Question
5
5.
The solution set of the inequality
(
4
x
−
6
)
>
(
−
5
)
,
x
∈
Z
is
(i)
{-2,-3,-4,-5,-6,...}
(ii)
{0,-1,-2,-3,-4,...}
(iii)
{1,2,3,4,5,...}
Question
6
6.
Which of the following figures represents the solution set
{8,9,10,11,12,13,...}
(i)
IV
(ii)
II
(iii)
I
(iv)
III
Question
7
7.
Identify the solution for the inequality
2
≥
(
−
6
x
−
1
)
>
(
−
12
)
,
x
∈
Z
(i)
I
(ii)
II
(iii)
IV
(iv)
III
Question
8
8.
Identify the solution for the inequality
11
≤
(
5
x
−
8
)
≤
26
,
x
∈
Z
(i)
I
(ii)
II
(iii)
III
(iv)
IV
Question
9
9.
Identify the solution for the inequality
(
−
9
x
−
27
)
<
0
,
x
∈
Z
(i)
IV
(ii)
III
(iii)
II
(iv)
I
Question
10
10.
Which of the following inequations is not the same as
(
−
4
x
−
1
)
>
(
5
x
−
8
)
,
x
∈
Z
(i)
(
16
x
+
4
)
>
(
−
5
x
+
8
)
,
x
∈
Z
(ii)
(
16
x
+
4
)
<
(
−
20
x
+
32
)
,
x
∈
Z
(iii)
(
12
x
+
3
)
<
(
−
15
x
+
24
)
,
x
∈
Z
(iv)
(
4
x
+
1
)
<
(
−
5
x
+
8
)
,
x
∈
Z
(v)
(
8
x
+
2
)
<
(
−
10
x
+
16
)
,
x
∈
Z
Question
11
11.
Which of the following inequations is the same as
(
−
7
x
−
4
)
≥
(
4
x
−
4
)
,
x
∈
Z
(i)
(
−
7
x
−
4
)
<
(
7
x
−
5
)
,
x
∈
Z
(ii)
(
−
4
x
−
5
)
≥
(
7
x
−
5
)
,
x
∈
Z
(iii)
(
−
4
x
−
5
)
>
(
4
x
−
4
)
,
x
∈
Z
(iv)
(
−
4
x
−
5
)
<
(
4
x
−
4
)
,
x
∈
Z
(v)
(
−
7
x
−
4
)
>
(
7
x
−
5
)
,
x
∈
Z
Question
12
12.
Solve the inequation
(
−
4
x
+
32
)
≥
0
,
x
∈
Z
(i)
{7,6,5,4,3,...}
(ii)
{8,7,6,5,4,...}
(iii)
{8,9,10,11,12,...}
(iv)
{9,10,11,12,13,...}
Question
13
13.
Identify the solution for the inequality
(
2
x
−
10
)
≤
0
,
x
∈
Z
(i)
IV
(ii)
I
(iii)
III
(iv)
II
Question
14
14.
Which of the following figures represents the solution set
{9,10,11,12,13,14,...}
(i)
IV
(ii)
II
(iii)
III
(iv)
I
Question
15
15.
The solution set of the inequality
(
9
x
−
8
)
≤
2
,
x
∈
Z
is
(i)
{-2,-3,-4,-5,-6,...}
(ii)
{2,3,4,5,6,...}
(iii)
{1,0,-1,-2,-3,...}
(iv)
{0,1,2,3,4,...}
Question
16
16.
Which of the following inequations is not the same as
(
−
9
x
−
6
)
≤
(
5
x
−
9
)
,
x
∈
Z
(i)
(
−
12
x
−
9
)
≤
(
2
x
−
12
)
,
x
∈
Z
(ii)
(
−
10
x
−
10
)
≤
(
4
x
−
13
)
,
x
∈
Z
(iii)
(
−
x
−
10
)
≤
(
13
x
−
13
)
,
x
∈
Z
(iv)
(
−
7
x
−
3
)
≤
(
13
x
−
13
)
,
x
∈
Z
(v)
(
−
7
x
−
3
)
≤
(
7
x
−
6
)
,
x
∈
Z
Question
17
17.
Find the solution set of
0
>
(
−
4
x
−
5
)
≥
(
−
16
)
,
x
∈
Z
(i)
{1,2,3,4}
(ii)
{-2,-1,0,1}
(iii)
{-3,-2,-1,0}
(iv)
{-1,0,1,2}
(v)
{0,1,2,3}
Question
18
18.
Which of the following inequations is not the same as
(
8
x
−
5
)
<
(
4
x
+
1
)
,
x
∈
Z
(i)
(
11
x
−
6
)
<
7
x
,
x
∈
Z
(ii)
(
9
x
−
4
)
<
(
−
3
x
+
5
)
,
x
∈
Z
(iii)
(
9
x
−
4
)
<
(
5
x
+
2
)
,
x
∈
Z
(iv)
(
9
x
−
6
)
<
5
x
,
x
∈
Z
(v)
(
x
−
1
)
<
(
−
3
x
+
5
)
,
x
∈
Z
Question
19
19.
Find the solution set of given inequality
(
3
x
−
6
)
<
0
,
x
∈
Z
(i)
{2,3,4,5,...}
(ii)
{1,0,-1,-2,...}
(iii)
{2,1,0,-1,...}
(iv)
{3,4,5,6,...}
Question
20
20.
Which of the following inequations is the same as
(
−
2
x
+
2
)
<
(
7
x
−
4
)
,
x
∈
Z
(i)
(
−
2
x
+
2
)
>
3
,
x
∈
Z
(ii)
(
−
9
x
+
9
)
<
3
,
x
∈
Z
(iii)
(
−
9
x
+
9
)
<
(
7
x
−
4
)
,
x
∈
Z
(iv)
(
−
2
x
+
2
)
<
3
,
x
∈
Z
(v)
(
−
9
x
+
9
)
>
(
7
x
−
4
)
,
x
∈
Z
Question
21
21.
Which of the following inequations is the same as
(
4
x
+
4
)
≤
(
2
x
+
6
)
,
x
∈
Z
(i)
(
−
12
x
−
12
)
≥
(
−
6
x
−
18
)
,
x
∈
Z
(ii)
(
−
12
x
−
12
)
<
(
2
x
+
6
)
,
x
∈
Z
(iii)
(
4
x
+
4
)
<
(
−
6
x
−
18
)
,
x
∈
Z
(iv)
(
4
x
+
4
)
>
(
−
6
x
−
18
)
,
x
∈
Z
(v)
(
−
12
x
−
12
)
>
(
2
x
+
6
)
,
x
∈
Z
Question
22
22.
Find the solution set of given inequality
(
−
x
+
9
)
≤
0
,
x
∈
Z
(i)
{9,8,7,6,...}
(ii)
{8,7,6,5,...}
(iii)
{9,10,11,12,...}
(iv)
{10,11,12,13,...}
Question
23
23.
Find the solution set of
(
−
7
)
≥
(
−
3
x
+
4
)
>
(
−
24
)
,
x
∈
Z
(i)
{2,3,4,5,6,7}
(ii)
{3,4,5,6,7,8}
(iii)
{5,6,7,8,9,10}
(iv)
{6,7,8,9,10,11}
(v)
{4,5,6,7,8,9}
Question
24
24.
The simplified form of the inequality
(
x
−
5
)
>
(
−
9
)
,
x
∈
Z
is
(i)
x
>
(
−
4
)
,
x
∈
Z
(ii)
x
≥
(
−
3
)
,
x
∈
Z
(iii)
x
>
(
−
5
)
,
x
∈
Z
(iv)
x
≤
(
−
3
)
,
x
∈
Z
(v)
x
<
(
−
5
)
,
x
∈
Z
Question
25
25.
Find the solution set for the given inequation
(
6
x
−
36
)
>
0
,
where the replacement set is
{4,5,6,7,8,9,10}
(i)
{7,8,9,10,11}
(ii)
{7,8,9,10}
(iii)
{5,4,3,2,1}
(iv)
{6,5,4,3,2}
(v)
{6,7,8,9,10}
Assignment Key
1) (v)
2) (iii)
3) (iii)
4) (iii)
5) (iii)
6) (i)
7) (i)
8) (ii)
9) (iii)
10) (i)
11) (ii)
12) (ii)
13) (ii)
14) (ii)
15) (iii)
16) (iv)
17) (iv)
18) (ii)
19) (ii)
20) (ii)
21) (i)
22) (iii)
23) (v)
24) (i)
25) (ii)
