EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Inequations
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Identify the solution for the inequality
(
−
15
)
≥
(
9
x
−
6
)
>
(
−
51
)
,
x
∈
R
(i)
I
(ii)
IV
(iii)
III
(iv)
II
Question
2
2.
Identify the solution for the inequality
9
x
≥
0
,
x
∈
N
(i)
I
(ii)
IV
(iii)
II
(iv)
III
Question
3
3.
Identify the solution for the inequality
(
−
2
x
+
18
)
>
0
,
x
∈
W
(i)
IV
(ii)
II
(iii)
III
(iv)
I
Question
4
4.
Which of the following figures represents the solution set of
(
−
5
x
−
25
)
≤
0
,
x
∈
R
(i)
IV
(ii)
II
(iii)
III
(iv)
I
Question
5
5.
Identify the solution for the inequality
20
>
(
−
9
x
−
7
)
≥
(
−
79
)
,
x
∈
R
(i)
IV
(ii)
II
(iii)
III
(iv)
I
Question
6
6.
Which of the following inequations is not the same as
(
4
x
−
7
)
≤
(
6
x
+
8
)
,
x
∈
Z
(i)
(
2
x
−
1
)
≤
(
4
x
+
14
)
,
x
∈
Z
(ii)
(
2
x
−
1
)
≤
(
4
x
+
11
)
,
x
∈
Z
(iii)
(
13
x
−
9
)
≤
(
15
x
+
6
)
,
x
∈
Z
(iv)
(
2
x
−
4
)
≤
(
4
x
+
11
)
,
x
∈
Z
(v)
(
x
−
15
)
≤
3
x
,
x
∈
Z
Question
7
7.
Solve the inequation
(
−
7
x
−
35
)
<
0
,
x
∈
Z
(i)
{-4,-3,-2,-1,0,...}
(ii)
{-5,-6,-7,-8,-9,...}
(iii)
{-5,-4,-3,-2,-1,...}
(iv)
{-6,-7,-8,-9,-10,...}
Question
8
8.
Find the solution set of given inequality
(
−
6
x
−
48
)
>
0
,
x
∈
Z
(i)
{-8,-9,-10,-11,...}
(ii)
{-9,-10,-11,-12,...}
(iii)
{-7,-6,-5,-4,...}
(iv)
{-8,-7,-6,-5,...}
Question
9
9.
Which of the following inequations is the same as
(
−
7
x
+
7
)
≥
(
4
x
−
2
)
,
x
∈
Z
(i)
(
−
5
x
+
11
)
<
(
4
x
−
2
)
,
x
∈
Z
(ii)
(
−
7
x
+
7
)
<
(
6
x
+
2
)
,
x
∈
Z
(iii)
(
−
5
x
+
11
)
≥
(
6
x
+
2
)
,
x
∈
Z
(iv)
(
−
7
x
+
7
)
>
(
6
x
+
2
)
,
x
∈
Z
(v)
(
−
5
x
+
11
)
>
(
4
x
−
2
)
,
x
∈
Z
Question
10
10.
Which of the following inequations is not the same as
(
−
x
+
2
)
<
(
8
x
+
3
)
,
x
∈
Z
(i)
(
8
x
−
3
)
<
(
7
x
−
5
)
,
x
∈
Z
(ii)
(
−
6
x
)
<
(
3
x
+
1
)
,
x
∈
Z
(iii)
(
2
x
+
4
)
<
(
11
x
+
5
)
,
x
∈
Z
(iv)
(
−
2
x
−
6
)
<
(
7
x
−
5
)
,
x
∈
Z
(v)
(
8
x
−
3
)
<
(
17
x
−
2
)
,
x
∈
Z
Question
11
11.
Which of the following is an inequation?
(i)
2
(ii)
(
2
x
+
2
)
=
0
(iii)
(
−
4
x
)
>
0
,
x
∈
Z
(iv)
(
8
x
+
6
)
Question
12
12.
Identify the solution for the inequality
3
>
(
2
x
+
7
)
>
(
−
9
)
,
x
∈
Z
(i)
III
(ii)
I
(iii)
IV
(iv)
II
Question
13
13.
Identify the solution for the inequality
4
≥
9
x
≥
(
−
25
)
,
x
∈
Z
(i)
II
(ii)
III
(iii)
I
(iv)
IV
Question
14
14.
Identify the solution for the inequality
(
−
6
x
−
54
)
≥
0
,
x
∈
Z
(i)
IV
(ii)
III
(iii)
II
(iv)
I
Question
15
15.
Which of the following inequations is not the same as
(
−
x
)
≥
(
−
9
x
−
3
)
,
x
∈
Z
(i)
(
7
x
+
1
)
≥
(
−
x
−
2
)
,
x
∈
Z
(ii)
(
−
2
x
+
7
)
≥
(
−
10
x
+
4
)
,
x
∈
Z
(iii)
(
5
x
−
2
)
≥
(
−
3
x
−
5
)
,
x
∈
Z
(iv)
(
−
10
x
+
1
)
≥
(
−
18
x
−
2
)
,
x
∈
Z
(v)
(
7
x
+
1
)
≥
(
−
3
x
−
5
)
,
x
∈
Z
Question
16
16.
Identify the solution for the inequality
(
−
57
)
<
(
7
x
−
8
)
<
48
,
x
∈
R
(i)
I
(ii)
II
(iii)
III
(iv)
IV
Question
17
17.
Which of the following inequations is the same as
(
4
x
−
5
)
≥
(
8
x
+
9
)
,
x
∈
Z
(i)
(
4
x
−
5
)
>
(
16
x
+
13
)
,
x
∈
Z
(ii)
(
12
x
−
1
)
>
(
8
x
+
9
)
,
x
∈
Z
(iii)
(
4
x
−
5
)
<
(
16
x
+
13
)
,
x
∈
Z
(iv)
(
12
x
−
1
)
<
(
8
x
+
9
)
,
x
∈
Z
(v)
(
12
x
−
1
)
≥
(
16
x
+
13
)
,
x
∈
Z
Question
18
18.
The simplified form of the inequality
(
−
2
x
+
2
)
<
(
−
3
x
+
4
)
,
x
∈
Z
is
(i)
x
≥
3
,
x
∈
Z
(ii)
x
<
1
,
x
∈
Z
(iii)
x
>
1
,
x
∈
Z
(iv)
x
<
2
,
x
∈
Z
(v)
x
≤
3
,
x
∈
Z
Question
19
19.
Which of the following is not an inequation?
(i)
(
−
8
x
+
7
)
<
(
3
x
+
5
)
,
x
∈
Z
(ii)
(
−
x
+
1
)
=
(
−
2
x
+
6
)
(iii)
(
−
6
x
)
≤
(
−
2
x
+
4
)
,
x
∈
Z
(iv)
9
x
≥
(
x
−
8
)
,
x
∈
Z
(v)
(
4
x
−
4
)
>
(
6
x
+
6
)
,
x
∈
Z
Question
20
20.
Find the solution set of given inequality
(
−
9
x
−
27
)
≥
0
,
x
∈
Z
(i)
{-4,-5,-6,-7,...}
(ii)
{-3,-2,-1,0,...}
(iii)
{-3,-4,-5,-6,...}
(iv)
{-2,-1,0,1,...}
Question
21
21.
The solution set of the inequality
(
−
9
x
+
9
)
<
(
4
x
−
7
)
,
x
∈
Z
is
(i)
{1,0,-1,-2,-3,...}
(ii)
{-3,-4,-5,-6,-7,...}
(iii)
{2,3,4,5,6,...}
(iv)
{-5,-4,-3,-2,-1,...}
Question
22
22.
Identify the solution for the inequality
(
2
x
+
2
)
>
0
,
x
∈
N
(i)
IV
(ii)
I
(iii)
III
(iv)
II
Question
23
23.
Identify the solution for the inequality
(
−
5
x
+
15
)
<
0
,
x
∈
W
(i)
IV
(ii)
III
(iii)
II
(iv)
I
Question
24
24.
Identify the solution for the inequality
32
≥
(
6
x
+
8
)
≥
(
−
10
)
,
x
∈
R
(i)
II
(ii)
I
(iii)
III
(iv)
IV
Question
25
25.
Identify the solution for the inequality
(
−
24
)
>
(
8
x
+
8
)
≥
(
−
40
)
,
x
∈
R
(i)
IV
(ii)
I
(iii)
III
(iv)
II
Assignment Key
1) (iii)
2) (iv)
3) (ii)
4) (i)
5) (iv)
6) (ii)
7) (i)
8) (ii)
9) (iii)
10) (i)
11) (iii)
12) (i)
13) (iv)
14) (iv)
15) (v)
16) (i)
17) (v)
18) (iv)
19) (ii)
20) (iii)
21) (iii)
22) (i)
23) (iv)
24) (i)
25) (iv)
