EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Inequations
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Solve the inequation
(
4
x
−
24
)
≥
0
,
x
∈
Z
(i)
{7,8,9,10,11,...}
(ii)
{6,5,4,3,2,...}
(iii)
{5,4,3,2,1,...}
(iv)
{6,7,8,9,10,...}
Question
2
2.
Identify the solution for the inequality
(
9
x
−
63
)
>
0
,
x
∈
Z
(i)
IV
(ii)
III
(iii)
II
(iv)
I
Question
3
3.
Which of the following figures represents the solution set of
(
3
x
+
24
)
>
0
,
x
∈
R
(i)
III
(ii)
IV
(iii)
I
(iv)
II
Question
4
4.
Which of the following inequations is not the same as
(
9
x
+
4
)
≤
(
8
x
−
4
)
,
x
∈
Z
(i)
(
54
x
+
24
)
≤
(
48
x
−
24
)
,
x
∈
Z
(ii)
(
−
81
x
−
36
)
≥
(
−
72
x
+
36
)
,
x
∈
Z
(iii)
(
−
45
x
−
20
)
≥
(
−
40
x
+
20
)
,
x
∈
Z
(iv)
(
−
18
x
−
8
)
≥
(
−
16
x
+
8
)
,
x
∈
Z
(v)
(
−
45
x
−
20
)
≤
(
−
72
x
+
36
)
,
x
∈
Z
Question
5
5.
Identify the solution for the inequality
0
≤
(
8
x
−
5
)
≤
12
,
x
∈
Z
(i)
I
(ii)
IV
(iii)
III
(iv)
II
Question
6
6.
Which of the following inequations is not the same as
(
2
x
−
5
)
<
(
−
x
+
5
)
,
x
∈
Z
(i)
(
x
−
3
)
<
(
−
5
x
+
4
)
,
x
∈
Z
(ii)
(
−
2
x
−
6
)
<
(
−
5
x
+
4
)
,
x
∈
Z
(iii)
(
x
−
3
)
<
(
−
2
x
+
7
)
,
x
∈
Z
(iv)
(
8
x
−
8
)
<
(
5
x
+
2
)
,
x
∈
Z
(v)
(
3
x
+
2
)
<
12
,
x
∈
Z
Question
7
7.
Identify the solution for the inequality
(
−
5
x
−
10
)
≤
0
,
x
∈
N
(i)
IV
(ii)
III
(iii)
I
(iv)
II
Question
8
8.
Find the solution set of
(
−
6
)
>
(
−
x
−
1
)
>
(
−
15
)
,
x
∈
Z
(i)
{8,9,10,11,12,13,14,15}
(ii)
{5,6,7,8,9,10,11,12}
(iii)
{7,8,9,10,11,12,13,14}
(iv)
{4,5,6,7,8,9,10,11}
(v)
{6,7,8,9,10,11,12,13}
Question
9
9.
Which of the following inequations is not the same as
(
−
8
x
−
8
)
>
(
5
x
+
5
)
,
x
∈
Z
(i)
(
−
3
x
−
6
)
>
(
10
x
+
7
)
,
x
∈
Z
(ii)
(
−
11
x
−
5
)
>
9
x
,
x
∈
Z
(iii)
(
−
4
x
−
13
)
>
9
x
,
x
∈
Z
(iv)
(
−
x
−
17
)
>
(
12
x
−
4
)
,
x
∈
Z
(v)
(
−
11
x
−
5
)
>
(
2
x
+
8
)
,
x
∈
Z
Question
10
10.
Which of the following inequations is the same as
(
8
x
−
3
)
≤
(
−
3
x
+
8
)
,
x
∈
Z
(i)
(
x
−
2
)
<
(
−
3
x
+
8
)
,
x
∈
Z
(ii)
(
x
−
2
)
>
(
−
3
x
+
8
)
,
x
∈
Z
(iii)
(
8
x
−
3
)
>
(
−
10
x
+
9
)
,
x
∈
Z
(iv)
(
8
x
−
3
)
<
(
−
10
x
+
9
)
,
x
∈
Z
(v)
(
x
−
2
)
≤
(
−
10
x
+
9
)
,
x
∈
Z
Question
11
11.
Which of the following figures represents the solution set of
(
−
2
x
−
4
)
≤
0
,
x
∈
R
(i)
IV
(ii)
II
(iii)
I
(iv)
III
Question
12
12.
The solution set of the inequality
(
x
−
4
)
<
(
−
3
x
−
9
)
,
x
∈
Z
is
(i)
{-2,-3,-4,-5,-6,...}
(ii)
{4,5,6,7,8,...}
(iii)
{-1,0,1,2,3,...}
(iv)
{2,3,4,5,6,...}
Question
13
13.
Which of the following inequations is not the same as
(
7
x
+
1
)
>
(
9
x
+
7
)
,
x
∈
Z
(i)
(
10
x
+
1
)
>
(
12
x
+
7
)
,
x
∈
Z
(ii)
(
14
x
+
2
)
>
(
16
x
+
8
)
,
x
∈
Z
(iii)
(
14
x
+
2
)
>
(
4
x
+
13
)
,
x
∈
Z
(iv)
(
2
x
+
7
)
>
(
4
x
+
13
)
,
x
∈
Z
(v)
(
−
2
x
−
6
)
>
0
,
x
∈
Z
Question
14
14.
The simplified form of the inequality
(
−
7
x
+
8
)
>
(
−
6
x
+
8
)
,
x
∈
Z
is
(i)
x
≥
(
−
1
)
,
x
∈
Z
(ii)
x
≤
(
−
1
)
,
x
∈
Z
(iii)
x
<
1
,
x
∈
Z
(iv)
x
>
1
,
x
∈
Z
(v)
x
<
0
,
x
∈
Z
Question
15
15.
Which of the following figures represents the solution set
{2,3,4,5,6,7,...}
(i)
IV
(ii)
II
(iii)
I
(iv)
III
Question
16
16.
Find the solution set of
2
≥
(
6
x
−
5
)
>
(
−
24
)
,
x
∈
Z
(i)
{1,0,-1,-2,-3}
(ii)
{0,-1,-2,-3,-4}
(iii)
{2,1,0,-1,-2}
(iv)
{3,2,1,0,-1}
(v)
{-1,-2,-3,-4,-5}
Question
17
17.
Identify the solution for the inequality
(
−
4
x
−
20
)
<
0
,
x
∈
W
(i)
I
(ii)
II
(iii)
III
(iv)
IV
Question
18
18.
The solution set of the inequality
(
5
x
+
4
)
>
(
2
x
+
8
)
,
x
∈
Z
is
(i)
{-3,-4,-5,-6,-7,...}
(ii)
{1,0,-1,-2,-3,...}
(iii)
{2,3,4,5,6,...}
Question
19
19.
Solve the inequation
(
4
x
−
24
)
≤
0
,
x
∈
Z
(i)
{6,5,4,3,2,...}
(ii)
{6,7,8,9,10,...}
(iii)
{7,8,9,10,11,...}
(iv)
{5,4,3,2,1,...}
Question
20
20.
Identify the solution for the inequality
(
−
57
)
<
(
9
x
+
6
)
<
(
−
12
)
,
x
∈
R
(i)
III
(ii)
IV
(iii)
I
(iv)
II
Question
21
21.
Identify the solution for the inequality
(
6
x
−
6
)
≤
0
,
x
∈
W
(i)
IV
(ii)
I
(iii)
III
(iv)
II
Question
22
22.
Which of the following is an inequation?
(i)
(
2
x
+
8
)
(ii)
(
8
x
−
1
)
>
0
,
x
∈
Z
(iii)
(
4
x
+
9
)
=
0
(iv)
3
Question
23
23.
Which of the following inequations is not the same as
(
6
x
−
3
)
≤
(
−
4
x
−
3
)
,
x
∈
Z
(i)
(
−
3
x
−
1
)
≤
(
−
13
x
−
1
)
,
x
∈
Z
(ii)
(
−
3
x
−
1
)
≤
(
−
3
x
−
7
)
,
x
∈
Z
(iii)
(
7
x
−
7
)
≤
(
−
3
x
−
7
)
,
x
∈
Z
(iv)
(
−
x
+
4
)
≤
(
−
11
x
+
4
)
,
x
∈
Z
(v)
(
10
x
+
2
)
≤
2
,
x
∈
Z
Question
24
24.
Identify the solution for the inequality
28
≥
(
−
6
x
−
2
)
>
10
,
x
∈
R
(i)
I
(ii)
II
(iii)
III
(iv)
IV
Question
25
25.
Which of the following inequations is the same as
(
−
9
x
+
3
)
>
(
9
x
−
3
)
,
x
∈
Z
(i)
(
−
9
x
+
3
)
>
(
6
x
−
1
)
,
x
∈
Z
(ii)
(
−
9
x
+
3
)
<
(
6
x
−
1
)
,
x
∈
Z
(iii)
(
−
12
x
+
5
)
<
(
9
x
−
3
)
,
x
∈
Z
(iv)
(
−
12
x
+
5
)
>
(
6
x
−
1
)
,
x
∈
Z
(v)
(
−
12
x
+
5
)
>
(
9
x
−
3
)
,
x
∈
Z
Assignment Key
1) (iv)
2) (ii)
3) (ii)
4) (v)
5) (iv)
6) (i)
7) (iv)
8) (v)
9) (ii)
10) (v)
11) (ii)
12) (i)
13) (iii)
14) (v)
15) (i)
16) (i)
17) (iii)
18) (iii)
19) (i)
20) (i)
21) (i)
22) (ii)
23) (ii)
24) (i)
25) (iv)
