EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Inequations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find the solution set for the given inequation
(
7
x
+
35
)
≤
0
,
where the replacement set is
{-2,-3,-4,-5,-6,-7,-8}
(i)
{-6,-7,-8,-9,-10}
(ii)
{-4,-3,-2,-1,0}
(iii)
{-5,-6,-7,-8}
(iv)
{-5,-6,-7,-8,-9}
(v)
{-5,-4,-3,-2,-1}
Question
2
2.
Which of the following inequations is not the same as
(
4
x
+
8
)
≤
(
3
x
+
6
)
,
x
∈
Z
(i)
(
2
x
+
6
)
≤
(
x
+
4
)
,
x
∈
Z
(ii)
(
5
x
+
7
)
≤
(
x
+
4
)
,
x
∈
Z
(iii)
(
6
x
+
5
)
≤
(
5
x
+
3
)
,
x
∈
Z
(iv)
(
5
x
+
7
)
≤
(
4
x
+
5
)
,
x
∈
Z
(v)
(
6
x
+
12
)
≤
(
5
x
+
10
)
,
x
∈
Z
Question
3
3.
Which of the following inequations is the same as
(
−
8
x
−
1
)
≥
(
−
6
x
+
6
)
,
x
∈
Z
(i)
(
−
8
x
−
1
)
>
(
x
+
15
)
,
x
∈
Z
(ii)
(
−
x
+
8
)
>
(
−
6
x
+
6
)
,
x
∈
Z
(iii)
(
−
x
+
8
)
≥
(
x
+
15
)
,
x
∈
Z
(iv)
(
−
x
+
8
)
<
(
−
6
x
+
6
)
,
x
∈
Z
(v)
(
−
8
x
−
1
)
<
(
x
+
15
)
,
x
∈
Z
Question
4
4.
Which of the following inequations is the same as
(
4
x
+
4
)
≤
(
−
8
x
+
2
)
,
x
∈
Z
(i)
(
20
x
+
20
)
≤
(
−
40
x
+
10
)
,
x
∈
Z
(ii)
(
4
x
+
4
)
<
(
−
40
x
+
10
)
,
x
∈
Z
(iii)
(
20
x
+
20
)
<
(
−
8
x
+
2
)
,
x
∈
Z
(iv)
(
20
x
+
20
)
>
(
−
8
x
+
2
)
,
x
∈
Z
(v)
(
4
x
+
4
)
>
(
−
40
x
+
10
)
,
x
∈
Z
Question
5
5.
Find the solution set of
8
<
(
2
x
−
6
)
<
16
,
x
∈
Z
(i)
{6,7,8}
(ii)
{8,9,10}
(iii)
{9,10,11}
(iv)
{7,8,9}
(v)
{10,11,12}
Question
6
6.
Solve the inequation
(
6
x
−
12
)
<
0
,
x
∈
Z
(i)
{2,3,4,5,6,...}
(ii)
{1,0,-1,-2,-3,...}
(iii)
{3,4,5,6,7,...}
(iv)
{2,1,0,-1,-2,...}
Question
7
7.
Identify the solution for the inequality
(
−
6
x
+
48
)
≥
0
,
x
∈
Z
(i)
II
(ii)
I
(iii)
IV
(iv)
III
Question
8
8.
Which of the following inequations is not the same as
(
−
8
x
−
7
)
<
(
−
4
x
−
4
)
,
x
∈
Z
(i)
(
x
−
14
)
<
(
−
3
)
,
x
∈
Z
(ii)
(
−
4
x
−
6
)
<
(
−
3
)
,
x
∈
Z
(iii)
(
−
7
x
)
<
(
−
3
x
+
3
)
,
x
∈
Z
(iv)
(
x
+
1
)
<
(
5
x
+
4
)
,
x
∈
Z
(v)
(
x
−
14
)
<
(
5
x
−
11
)
,
x
∈
Z
Question
9
9.
Find the solution set of given inequality
(
−
x
−
1
)
≤
0
,
x
∈
Z
(i)
{-1,0,1,2,...}
(ii)
{-2,-3,-4,-5,...}
(iii)
{0,1,2,3,...}
(iv)
{-1,-2,-3,-4,...}
Question
10
10.
The solution set of the inequality
(
8
x
−
1
)
≥
(
−
5
x
+
8
)
,
x
∈
Z
is
(i)
{1,2,3,4,5,...}
(ii)
{0,-1,-2,-3,-4,...}
(iii)
{2,1,0,-1,-2,...}
(iv)
{2,3,4,5,6,...}
Question
11
11.
The solution set of the inequality
(
3
x
+
5
)
≤
4
,
x
∈
Z
is
(i)
{0,1,2,3,4,...}
(ii)
{-2,-1,0,1,2,...}
(iii)
{-1,-2,-3,-4,-5,...}
(iv)
{1,2,3,4,5,...}
Question
12
12.
The solution set of the inequality
(
3
x
+
1
)
<
3
,
x
∈
Z
is
(i)
{0,-1,-2,-3,-4,...}
(ii)
{-3,-2,-1,0,1,...}
(iii)
{1,2,3,4,5,...}
(iv)
{-1,-2,-3,-4,-5,...}
Question
13
13.
Which of the following is not an inequation?
(i)
(
−
7
x
+
5
)
≤
(
−
2
x
−
1
)
,
x
∈
Z
(ii)
(
−
6
x
+
5
)
=
(
8
x
−
8
)
(iii)
(
2
x
−
2
)
>
(
5
x
−
2
)
,
x
∈
Z
(iv)
(
−
3
x
+
8
)
≥
(
−
9
x
+
2
)
,
x
∈
Z
(v)
(
−
9
x
+
1
)
<
(
6
x
+
4
)
,
x
∈
Z
Question
14
14.
The solution set of the inequality
(
−
9
x
−
1
)
>
(
−
x
−
8
)
,
x
∈
Z
is
(i)
{-4,-3,-2,-1,0,...}
(ii)
{1,2,3,4,5,...}
(iii)
{0,-1,-2,-3,-4,...}
Question
15
15.
Which of the following inequations is not the same as
(
2
x
−
8
)
>
(
−
6
x
−
4
)
,
x
∈
Z
(i)
(
−
4
x
+
16
)
<
(
12
x
+
8
)
,
x
∈
Z
(ii)
(
−
8
x
+
32
)
<
(
24
x
+
16
)
,
x
∈
Z
(iii)
(
16
x
−
64
)
>
(
−
48
x
−
32
)
,
x
∈
Z
(iv)
(
16
x
−
64
)
>
(
12
x
+
8
)
,
x
∈
Z
(v)
(
4
x
−
16
)
>
(
−
12
x
−
8
)
,
x
∈
Z
Question
16
16.
Find the solution set of
(
−
7
)
>
(
−
8
x
−
9
)
>
(
−
19
)
,
x
∈
Z
(i)
{2,3}
(ii)
{0,1}
(iii)
{-1,0}
(iv)
{1,2}
(v)
{-2,-1}
Question
17
17.
Which of the following inequations is not the same as
(
−
9
x
+
5
)
<
(
9
x
−
9
)
,
x
∈
Z
(i)
(
−
36
x
+
20
)
<
(
36
x
−
36
)
,
x
∈
Z
(ii)
(
−
54
x
+
30
)
<
(
54
x
−
54
)
,
x
∈
Z
(iii)
(
−
54
x
+
30
)
<
(
9
x
−
9
)
,
x
∈
Z
(iv)
(
45
x
−
25
)
>
(
−
45
x
+
45
)
,
x
∈
Z
(v)
(
−
9
x
+
5
)
<
(
9
x
−
9
)
,
x
∈
Z
Question
18
18.
Which of the following inequations is the same as
(
−
9
x
−
5
)
>
(
−
7
x
−
7
)
,
x
∈
Z
(i)
(
−
11
x
−
7
)
>
(
−
7
x
−
7
)
,
x
∈
Z
(ii)
(
−
11
x
−
7
)
>
(
−
9
x
−
9
)
,
x
∈
Z
(iii)
(
−
9
x
−
5
)
<
(
−
9
x
−
9
)
,
x
∈
Z
(iv)
(
−
9
x
−
5
)
>
(
−
9
x
−
9
)
,
x
∈
Z
(v)
(
−
11
x
−
7
)
<
(
−
7
x
−
7
)
,
x
∈
Z
Question
19
19.
Find the solution set of
(
−
13
)
≤
(
−
4
x
+
7
)
≤
11
,
x
∈
Z
(i)
{3,2,1,0,-1,-2,-3}
(ii)
{5,4,3,2,1,0,-1}
(iii)
{7,6,5,4,3,2,1}
(iv)
{6,5,4,3,2,1,0}
(v)
{4,3,2,1,0,-1,-2}
Question
20
20.
The simplified form of the inequality
(
−
3
x
+
6
)
≤
5
,
x
∈
Z
is
(i)
x
>
2
3
,
x
∈
Z
(ii)
x
≥
0
,
x
∈
Z
(iii)
x
≥
1
3
,
x
∈
Z
(iv)
x
≤
0
,
x
∈
Z
(v)
x
<
2
3
,
x
∈
Z
Question
21
21.
Which of the following inequations is not the same as
(
9
x
+
4
)
≥
(
5
x
+
4
)
,
x
∈
Z
(i)
(
15
x
+
9
)
≥
(
11
x
+
9
)
,
x
∈
Z
(ii)
(
12
x
−
3
)
≥
(
8
x
−
3
)
,
x
∈
Z
(iii)
(
4
x
+
7
)
≥
7
,
x
∈
Z
(iv)
(
4
x
+
7
)
≥
(
8
x
−
3
)
,
x
∈
Z
(v)
(
12
x
+
4
)
≥
(
8
x
+
4
)
,
x
∈
Z
Question
22
22.
The solution set of the inequality
(
−
7
x
+
2
)
≥
(
−
1
)
,
x
∈
Z
is
(i)
{1,2,3,4,5,...}
(ii)
{-2,-3,-4,-5,-6,...}
(iii)
{0,-1,-2,-3,-4,...}
(iv)
{0,1,2,3,4,...}
Question
23
23.
Find the solution set of
0
>
(
−
8
x
)
≥
(
−
12
)
,
x
∈
Z
(i)
{1}
(ii)
{2}
(iii)
{3}
(iv)
{-1}
(v)
{0}
Question
24
24.
Which of the following is not an inequation?
(i)
(
6
x
+
6
)
≤
(
−
9
)
,
x
∈
Z
(ii)
(
2
x
+
9
)
=
2
(iii)
(
−
3
x
)
<
1
,
x
∈
Z
(iv)
(
5
x
−
2
)
>
2
,
x
∈
Z
(v)
(
−
x
−
3
)
≥
(
−
9
)
,
x
∈
Z
Question
25
25.
Identify the solution for the inequality
(
3
x
−
12
)
≤
0
,
x
∈
N
(i)
I
(ii)
II
(iii)
IV
(iv)
III
Assignment Key
1) (iii)
2) (ii)
3) (iii)
4) (i)
5) (ii)
6) (ii)
7) (i)
8) (i)
9) (i)
10) (i)
11) (iii)
12) (i)
13) (ii)
14) (iii)
15) (iv)
16) (ii)
17) (iii)
18) (ii)
19) (ii)
20) (iii)
21) (iv)
22) (iii)
23) (i)
24) (ii)
25) (iii)
