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 given inequality
(
−
4
x
−
8
)
<
0
,
x
∈
Z
(i)
{-2,-1,0,1,...}
(ii)
{-1,0,1,2,...}
(iii)
{-2,-3,-4,-5,...}
(iv)
{-3,-4,-5,-6,...}
Question
2
2.
Which of the following inequations is not the same as
(
−
7
x
−
8
)
≥
(
−
8
x
−
1
)
,
x
∈
Z
(i)
(
−
49
x
−
56
)
≥
(
−
56
x
−
7
)
,
x
∈
Z
(ii)
(
28
x
+
32
)
≥
(
−
16
x
−
2
)
,
x
∈
Z
(iii)
(
49
x
+
56
)
≤
(
56
x
+
7
)
,
x
∈
Z
(iv)
(
28
x
+
32
)
≤
(
32
x
+
4
)
,
x
∈
Z
(v)
(
−
14
x
−
16
)
≥
(
−
16
x
−
2
)
,
x
∈
Z
Question
3
3.
Which of the following figures represents the solution set
{1,2,3,4,5,6,...}
(i)
IV
(ii)
III
(iii)
I
(iv)
II
Question
4
4.
Solve the inequation
(
5
x
−
30
)
≤
0
,
x
∈
Z
(i)
{6,7,8,9,10,...}
(ii)
{5,4,3,2,1,...}
(iii)
{7,8,9,10,11,...}
(iv)
{6,5,4,3,2,...}
Question
5
5.
Identify the solution for the inequality
(
−
8
x
−
32
)
>
0
,
x
∈
Z
(i)
III
(ii)
I
(iii)
II
(iv)
IV
Question
6
6.
Which of the following inequations is not the same as
(
−
7
x
+
2
)
<
(
−
x
+
4
)
,
x
∈
Z
(i)
(
42
x
−
12
)
>
(
6
x
−
24
)
,
x
∈
Z
(ii)
(
−
56
x
+
16
)
<
(
−
8
x
+
32
)
,
x
∈
Z
(iii)
(
63
x
−
18
)
>
(
9
x
−
36
)
,
x
∈
Z
(iv)
(
−
14
x
+
4
)
<
(
−
2
x
+
8
)
,
x
∈
Z
(v)
(
−
56
x
+
16
)
<
(
9
x
−
36
)
,
x
∈
Z
Question
7
7.
Which of the following inequations is the same as
(
−
6
x
−
7
)
≥
(
−
5
x
−
5
)
,
x
∈
Z
(i)
(
−
12
x
−
14
)
>
(
−
5
x
−
5
)
,
x
∈
Z
(ii)
(
−
6
x
−
7
)
>
(
−
10
x
−
10
)
,
x
∈
Z
(iii)
(
−
12
x
−
14
)
<
(
−
5
x
−
5
)
,
x
∈
Z
(iv)
(
−
6
x
−
7
)
<
(
−
10
x
−
10
)
,
x
∈
Z
(v)
(
−
12
x
−
14
)
≥
(
−
10
x
−
10
)
,
x
∈
Z
Question
8
8.
Which of the following inequations is the same as
(
−
6
x
+
1
)
>
(
8
x
+
4
)
,
x
∈
Z
(i)
(
−
6
x
+
1
)
<
5
,
x
∈
Z
(ii)
(
−
14
x
+
2
)
>
5
,
x
∈
Z
(iii)
(
−
14
x
+
2
)
<
(
8
x
+
4
)
,
x
∈
Z
(iv)
(
−
6
x
+
1
)
>
5
,
x
∈
Z
(v)
(
−
14
x
+
2
)
>
(
8
x
+
4
)
,
x
∈
Z
Question
9
9.
Which of the following figures represents the solution set
{2,3,4,5,6,7,...}
(i)
I
(ii)
IV
(iii)
III
(iv)
II
Question
10
10.
Which of the following inequations is not the same as
5
x
>
(
−
4
x
+
6
)
,
x
∈
Z
(i)
(
−
15
x
)
<
(
12
x
−
18
)
,
x
∈
Z
(ii)
(
−
30
x
)
>
(
−
32
x
+
48
)
,
x
∈
Z
(iii)
(
−
35
x
)
<
(
28
x
−
42
)
,
x
∈
Z
(iv)
40
x
>
(
−
32
x
+
48
)
,
x
∈
Z
(v)
(
−
30
x
)
<
(
24
x
−
36
)
,
x
∈
Z
Question
11
11.
Find the solution set of
(
−
12
)
≥
(
−
9
x
−
6
)
>
(
−
23
)
,
x
∈
Z
(i)
{2}
(ii)
{3}
(iii)
{0}
(iv)
{1}
(v)
{-1}
Question
12
12.
Which of the following inequations is not the same as
(
−
4
x
−
3
)
>
(
8
x
+
4
)
,
x
∈
Z
(i)
(
3
x
−
10
)
>
(
15
x
−
3
)
,
x
∈
Z
(ii)
(
−
12
x
−
10
)
>
(
−
3
)
,
x
∈
Z
(iii)
(
−
13
x
−
11
)
>
(
15
x
−
3
)
,
x
∈
Z
(iv)
(
−
13
x
−
11
)
>
(
−
x
−
4
)
,
x
∈
Z
(v)
(
−
9
x
−
6
)
>
(
3
x
+
1
)
,
x
∈
Z
Question
13
13.
Identify the solution for the inequality
1
≥
(
8
x
−
7
)
>
(
−
27
)
,
x
∈
Z
(i)
II
(ii)
III
(iii)
I
(iv)
IV
Question
14
14.
Solve the inequation
(
9
x
−
45
)
<
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
15
15.
The simplified form of the inequality
(
2
x
−
7
)
≤
(
−
7
)
,
x
∈
Z
is
(i)
x
≤
1
2
,
x
∈
Z
(ii)
x
<
(
−
1
2
)
,
x
∈
Z
(iii)
x
>
(
−
1
2
)
,
x
∈
Z
(iv)
x
≥
1
2
,
x
∈
Z
(v)
x
≤
0
,
x
∈
Z
Question
16
16.
The simplified form of the inequality
(
5
x
−
1
)
>
(
−
x
+
3
)
,
x
∈
Z
is
(i)
x
≥
5
6
,
x
∈
Z
(ii)
x
>
2
3
,
x
∈
Z
(iii)
x
≤
5
6
,
x
∈
Z
(iv)
x
>
1
2
,
x
∈
Z
(v)
x
<
1
2
,
x
∈
Z
Question
17
17.
Find the solution set for the given inequation
(
9
x
−
27
)
>
0
,
where the replacement set is
{1,2,3,4,5,6,7}
(i)
{4,5,6,7}
(ii)
{2,1,0,-1,-2}
(iii)
{4,5,6,7,8}
(iv)
{3,2,1,0,-1}
(v)
{3,4,5,6,7}
Question
18
18.
Which of the following inequations is the same as
(
−
7
x
−
6
)
>
(
−
2
x
+
1
)
,
x
∈
Z
(i)
(
−
21
x
−
18
)
<
(
−
2
x
+
1
)
,
x
∈
Z
(ii)
(
−
21
x
−
18
)
>
(
−
6
x
+
3
)
,
x
∈
Z
(iii)
(
−
7
x
−
6
)
>
(
−
6
x
+
3
)
,
x
∈
Z
(iv)
(
−
7
x
−
6
)
<
(
−
6
x
+
3
)
,
x
∈
Z
(v)
(
−
21
x
−
18
)
>
(
−
2
x
+
1
)
,
x
∈
Z
Question
19
19.
Find the solution set of
(
−
7
)
>
(
−
5
x
+
6
)
≥
(
−
22
)
,
x
∈
Z
(i)
{3,4,5}
(ii)
{2,3,4}
(iii)
{5,6,7}
(iv)
{4,5,6}
(v)
{1,2,3}
Question
20
20.
Find the solution set of given inequality
(
−
3
x
−
18
)
≥
0
,
x
∈
Z
(i)
{-5,-4,-3,-2,...}
(ii)
{-6,-7,-8,-9,...}
(iii)
{-7,-8,-9,-10,...}
(iv)
{-6,-5,-4,-3,...}
Question
21
21.
The solution set of the inequality
(
4
x
+
5
)
≥
(
−
x
+
7
)
,
x
∈
Z
is
(i)
{0,-1,-2,-3,-4,...}
(ii)
{1,2,3,4,5,...}
Question
22
22.
Identify the solution for the inequality
(
−
17
)
≤
(
−
9
x
−
7
)
<
12
,
x
∈
Z
(i)
IV
(ii)
III
(iii)
II
(iv)
I
Question
23
23.
The simplified form of the inequality
(
7
x
−
8
)
<
(
4
x
+
7
)
,
x
∈
Z
is
(i)
x
<
14
3
,
x
∈
Z
(ii)
x
<
5
,
x
∈
Z
(iii)
x
≤
16
3
,
x
∈
Z
(iv)
x
≥
16
3
,
x
∈
Z
(v)
x
>
14
3
,
x
∈
Z
Question
24
24.
Identify the solution for the inequality
(
−
7
)
>
(
−
6
x
+
2
)
≥
(
−
21
)
,
x
∈
Z
(i)
III
(ii)
IV
(iii)
I
(iv)
II
Question
25
25.
Identify the solution for the inequality
(
−
4
)
≥
(
2
x
−
2
)
≥
(
−
16
)
,
x
∈
Z
(i)
I
(ii)
III
(iii)
IV
(iv)
II
Assignment Key
1) (ii)
2) (ii)
3) (iv)
4) (iv)
5) (i)
6) (v)
7) (v)
8) (ii)
9) (iii)
10) (ii)
11) (iv)
12) (iii)
13) (ii)
14) (iii)
15) (v)
16) (ii)
17) (i)
18) (ii)
19) (i)
20) (ii)
21) (ii)
22) (i)
23) (ii)
24) (iii)
25) (i)
