EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Inequations
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Solve the inequation
(
−
5
x
+
20
)
≥
0
,
x
∈
Z
(i)
{4,3,2,1,0,...}
(ii)
{3,2,1,0,-1,...}
(iii)
{5,6,7,8,9,...}
(iv)
{4,5,6,7,8,...}
Question
2
2.
Which of the following inequations is not the same as
(
3
x
+
6
)
≤
(
2
x
+
7
)
,
x
∈
Z
(i)
(
11
x
+
15
)
≤
(
10
x
+
16
)
,
x
∈
Z
(ii)
(
−
3
x
+
15
)
≤
(
−
4
x
+
16
)
,
x
∈
Z
(iii)
(
−
4
x
+
3
)
≤
(
−
5
x
+
4
)
,
x
∈
Z
(iv)
(
10
x
+
7
)
≤
(
9
x
+
8
)
,
x
∈
Z
(v)
(
10
x
+
7
)
≤
(
−
4
x
+
16
)
,
x
∈
Z
Question
3
3.
Find the solution set of
3
>
(
7
x
+
1
)
≥
(
−
24
)
,
x
∈
Z
(i)
{2,1,0,-1}
(ii)
{-2,-3,-4,-5}
(iii)
{0,-1,-2,-3}
(iv)
{-1,-2,-3,-4}
(v)
{1,0,-1,-2}
Question
4
4.
Which of the following inequations is not the same as
(
−
2
x
+
3
)
≥
(
7
x
+
3
)
,
x
∈
Z
(i)
(
7
x
+
9
)
≥
(
16
x
+
4
)
,
x
∈
Z
(ii)
(
7
x
+
10
)
≥
(
16
x
+
10
)
,
x
∈
Z
(iii)
(
7
x
+
9
)
≥
(
16
x
+
9
)
,
x
∈
Z
(iv)
(
−
7
x
−
1
)
≥
(
2
x
−
1
)
,
x
∈
Z
(v)
(
7
x
+
4
)
≥
(
16
x
+
4
)
,
x
∈
Z
Question
5
5.
Which of the following inequations is the same as
(
8
x
−
7
)
>
(
5
x
+
2
)
,
x
∈
Z
(i)
(
9
x
−
4
)
>
(
6
x
+
5
)
,
x
∈
Z
(ii)
(
9
x
−
4
)
>
(
5
x
+
2
)
,
x
∈
Z
(iii)
(
8
x
−
7
)
>
(
6
x
+
5
)
,
x
∈
Z
(iv)
(
8
x
−
7
)
<
(
6
x
+
5
)
,
x
∈
Z
(v)
(
9
x
−
4
)
<
(
5
x
+
2
)
,
x
∈
Z
Question
6
6.
Identify the solution for the inequality
(
8
x
−
24
)
≤
0
,
x
∈
N
(i)
IV
(ii)
II
(iii)
I
(iv)
III
Question
7
7.
Find the solution set for the given inequation
(
8
x
+
8
)
≥
0
,
where the replacement set is
{-4,-3,-2,-1,0,1,2}
(i)
{-1,0,1,2,3}
(ii)
{-2,-3,-4,-5,-6}
(iii)
{-1,0,1,2}
(iv)
{0,1,2,3,4}
(v)
{-1,-2,-3,-4,-5}
Question
8
8.
Which of the following inequations is not the same as
(
−
3
x
+
2
)
≤
(
−
8
x
−
9
)
,
x
∈
Z
(i)
(
24
x
−
16
)
≥
(
64
x
+
72
)
,
x
∈
Z
(ii)
(
−
18
x
+
12
)
≤
(
−
48
x
−
54
)
,
x
∈
Z
(iii)
(
24
x
−
16
)
≤
(
−
72
x
−
81
)
,
x
∈
Z
(iv)
(
−
12
x
+
8
)
≤
(
−
32
x
−
36
)
,
x
∈
Z
(v)
(
−
27
x
+
18
)
≤
(
−
72
x
−
81
)
,
x
∈
Z
Question
9
9.
The simplified form of the inequality
(
7
x
+
2
)
>
6
,
x
∈
Z
is
(i)
x
>
3
7
,
x
∈
Z
(ii)
x
>
4
7
,
x
∈
Z
(iii)
x
≥
5
7
,
x
∈
Z
(iv)
x
<
3
7
,
x
∈
Z
(v)
x
≤
5
7
,
x
∈
Z
Question
10
10.
Which of the following figures represents the solution set of
(
6
x
+
18
)
≥
0
,
x
∈
R
(i)
I
(ii)
IV
(iii)
III
(iv)
II
Question
11
11.
Which of the following inequations is the same as
(
−
4
x
+
6
)
≥
(
4
x
−
3
)
,
x
∈
Z
(i)
(
−
4
x
+
6
)
<
(
−
28
x
+
21
)
,
x
∈
Z
(ii)
(
28
x
−
42
)
≤
(
−
28
x
+
21
)
,
x
∈
Z
(iii)
(
−
4
x
+
6
)
>
(
−
28
x
+
21
)
,
x
∈
Z
(iv)
(
28
x
−
42
)
>
(
4
x
−
3
)
,
x
∈
Z
(v)
(
28
x
−
42
)
<
(
4
x
−
3
)
,
x
∈
Z
Question
12
12.
Which of the following inequations is the same as
(
3
x
−
1
)
≤
(
5
x
−
3
)
,
x
∈
Z
(i)
(
12
x
−
1
)
<
(
5
x
−
3
)
,
x
∈
Z
(ii)
(
12
x
−
1
)
>
(
5
x
−
3
)
,
x
∈
Z
(iii)
(
3
x
−
1
)
<
(
14
x
−
3
)
,
x
∈
Z
(iv)
(
12
x
−
1
)
≤
(
14
x
−
3
)
,
x
∈
Z
(v)
(
3
x
−
1
)
>
(
14
x
−
3
)
,
x
∈
Z
Question
13
13.
Which of the following inequations is the same as
(
−
4
x
+
6
)
<
(
9
x
+
8
)
,
x
∈
Z
(i)
(
−
4
x
+
6
)
>
(
13
x
+
7
)
,
x
∈
Z
(ii)
5
<
(
9
x
+
8
)
,
x
∈
Z
(iii)
5
<
(
13
x
+
7
)
,
x
∈
Z
(iv)
5
>
(
9
x
+
8
)
,
x
∈
Z
(v)
(
−
4
x
+
6
)
<
(
13
x
+
7
)
,
x
∈
Z
Question
14
14.
Solve the inequation
(
x
+
1
)
<
0
,
x
∈
Z
(i)
{-1,-2,-3,-4,-5,...}
(ii)
{-2,-3,-4,-5,-6,...}
(iii)
{-1,0,1,2,3,...}
(iv)
{0,1,2,3,4,...}
Question
15
15.
Solve the inequation
(
−
3
x
−
21
)
≤
0
,
x
∈
Z
(i)
{-8,-9,-10,-11,-12,...}
(ii)
{-7,-8,-9,-10,-11,...}
(iii)
{-6,-5,-4,-3,-2,...}
(iv)
{-7,-6,-5,-4,-3,...}
Question
16
16.
Find the solution set of
(
−
3
)
<
(
2
x
+
7
)
≤
5
,
x
∈
Z
(i)
{-5,-4,-3,-2}
(ii)
{-4,-3,-2,-1}
(iii)
{-6,-5,-4,-3}
(iv)
{-2,-1,0,1}
(v)
{-3,-2,-1,0}
Question
17
17.
The simplified form of the inequality
(
−
4
x
+
6
)
<
(
−
7
x
−
8
)
,
x
∈
Z
is
(i)
x
<
(
−
5
)
,
x
∈
Z
(ii)
x
<
(
−
14
3
)
,
x
∈
Z
(iii)
x
≤
(
−
13
3
)
,
x
∈
Z
(iv)
x
≥
(
−
13
3
)
,
x
∈
Z
(v)
x
>
(
−
5
)
,
x
∈
Z
Question
18
18.
Identify the solution for the inequality
5
x
>
0
,
x
∈
W
(i)
III
(ii)
I
(iii)
II
(iv)
IV
Question
19
19.
Which of the following inequations is the same as
(
7
x
+
2
)
≥
(
8
x
+
4
)
,
x
∈
Z
(i)
(
7
x
+
2
)
<
(
15
x
+
2
)
,
x
∈
Z
(ii)
(
7
x
+
2
)
>
(
15
x
+
2
)
,
x
∈
Z
(iii)
14
x
>
(
8
x
+
4
)
,
x
∈
Z
(iv)
14
x
≥
(
15
x
+
2
)
,
x
∈
Z
(v)
14
x
<
(
8
x
+
4
)
,
x
∈
Z
Question
20
20.
Identify the solution for the inequality
(
−
89
)
≤
(
−
9
x
−
8
)
<
(
−
35
)
,
x
∈
R
(i)
I
(ii)
II
(iii)
III
(iv)
IV
Question
21
21.
Identify the solution for the inequality
(
−
2
x
+
18
)
≤
0
,
x
∈
W
(i)
III
(ii)
IV
(iii)
I
(iv)
II
Question
22
22.
The solution set of the inequality
(
−
6
x
+
8
)
≤
(
−
6
)
,
x
∈
Z
is
(i)
{3,4,5,6,7,...}
(ii)
{2,1,0,-1,-2,...}
(iii)
{1,2,3,4,5,...}
(iv)
{-1,-2,-3,-4,-5,...}
Question
23
23.
Identify the solution for the inequality
(
9
x
−
72
)
<
0
,
x
∈
N
(i)
II
(ii)
I
(iii)
IV
(iv)
III
Question
24
24.
The simplified form of the inequality
(
−
7
x
+
9
)
>
(
9
x
−
3
)
,
x
∈
Z
is
(i)
x
≥
11
16
,
x
∈
Z
(ii)
x
<
3
4
,
x
∈
Z
(iii)
x
>
13
16
,
x
∈
Z
(iv)
x
<
13
16
,
x
∈
Z
(v)
x
≤
11
16
,
x
∈
Z
Question
25
25.
Identify the solution for the inequality
9
≤
(
−
8
x
+
1
)
≤
73
,
x
∈
R
(i)
III
(ii)
II
(iii)
I
(iv)
IV
Assignment Key
1) (i)
2) (v)
3) (iii)
4) (i)
5) (i)
6) (ii)
7) (iii)
8) (iii)
9) (ii)
10) (i)
11) (ii)
12) (iv)
13) (iii)
14) (ii)
15) (iv)
16) (ii)
17) (ii)
18) (iv)
19) (iv)
20) (i)
21) (i)
22) (i)
23) (ii)
24) (ii)
25) (iv)
