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
(
−
1
)
≥
(
−
x
−
8
)
>
(
−
13
)
,
x
∈
R
(i)
II
(ii)
I
(iii)
IV
(iv)
III
Question
2
2.
Which of the following inequations is the same as
(
2
x
−
5
)
>
(
−
3
x
−
7
)
,
x
∈
Z
(i)
(
2
x
−
5
)
<
(
−
x
−
2
)
,
x
∈
Z
(ii)
(
2
x
−
5
)
>
(
−
x
−
2
)
,
x
∈
Z
(iii)
4
x
<
(
−
3
x
−
7
)
,
x
∈
Z
(iv)
4
x
>
(
−
3
x
−
7
)
,
x
∈
Z
(v)
4
x
>
(
−
x
−
2
)
,
x
∈
Z
Question
3
3.
Find the solution set of
(
−
7
)
>
(
−
7
x
+
1
)
>
(
−
20
)
,
x
∈
Z
(i)
{1}
(ii)
{3}
(iii)
{0}
(iv)
{2}
(v)
{4}
Question
4
4.
Identify the solution for the inequality
(
−
10
)
≤
(
−
8
x
+
6
)
<
18
,
x
∈
Z
(i)
II
(ii)
IV
(iii)
I
(iv)
III
Question
5
5.
Which of the following inequations is not the same as
(
−
8
x
−
7
)
≥
(
4
x
+
5
)
,
x
∈
Z
(i)
(
−
6
)
≥
(
12
x
+
6
)
,
x
∈
Z
(ii)
(
−
2
x
−
4
)
≥
(
10
x
+
8
)
,
x
∈
Z
(iii)
(
−
15
x
−
15
)
≥
(
−
3
x
−
3
)
,
x
∈
Z
(iv)
(
−
7
x
−
3
)
≥
(
5
x
+
9
)
,
x
∈
Z
(v)
(
−
6
)
≥
(
5
x
+
9
)
,
x
∈
Z
Question
6
6.
Which of the following figures represents the solution set
{-4,-3,-2,-1,0,1,...}
(i)
III
(ii)
II
(iii)
I
(iv)
IV
Question
7
7.
Identify the solution for the inequality
(
−
33
)
<
(
−
7
x
−
5
)
<
23
,
x
∈
R
(i)
III
(ii)
II
(iii)
I
(iv)
IV
Question
8
8.
Which of the following figures represents the solution set of
(
8
x
−
72
)
≤
0
,
x
∈
R
(i)
II
(ii)
I
(iii)
III
(iv)
IV
Question
9
9.
Which of the following inequations is the same as
(
3
x
+
6
)
<
(
−
6
x
+
5
)
,
x
∈
Z
(i)
(
3
x
+
6
)
>
(
24
x
−
20
)
,
x
∈
Z
(ii)
(
3
x
+
6
)
<
(
24
x
−
20
)
,
x
∈
Z
(iii)
(
−
12
x
−
24
)
>
(
−
6
x
+
5
)
,
x
∈
Z
(iv)
(
−
12
x
−
24
)
>
(
24
x
−
20
)
,
x
∈
Z
(v)
(
−
12
x
−
24
)
<
(
−
6
x
+
5
)
,
x
∈
Z
Question
10
10.
Find the solution set of
2
≥
(
3
x
+
5
)
>
(
−
21
)
,
x
∈
Z
(i)
{-1,-2,-3,-4,-5,-6,-7,-8}
(ii)
{0,-1,-2,-3,-4,-5,-6,-7}
(iii)
{-3,-4,-5,-6,-7,-8,-9,-10}
(iv)
{1,0,-1,-2,-3,-4,-5,-6}
(v)
{-2,-3,-4,-5,-6,-7,-8,-9}
Question
11
11.
The solution set of the inequality
(
7
x
−
6
)
>
9
,
x
∈
Z
is
(i)
{2,1,0,-1,-2,...}
(ii)
{-1,0,1,2,3,...}
(iii)
{2,3,4,5,6,...}
(iv)
{3,4,5,6,7,...}
Question
12
12.
Which of the following inequations is not the same as
(
−
9
x
+
8
)
>
(
−
8
x
+
8
)
,
x
∈
Z
(i)
(
−
36
x
+
32
)
>
(
−
32
x
+
32
)
,
x
∈
Z
(ii)
(
72
x
−
64
)
>
(
−
32
x
+
32
)
,
x
∈
Z
(iii)
(
63
x
−
56
)
<
(
56
x
−
56
)
,
x
∈
Z
(iv)
(
72
x
−
64
)
<
(
64
x
−
64
)
,
x
∈
Z
(v)
(
−
72
x
+
64
)
>
(
−
64
x
+
64
)
,
x
∈
Z
Question
13
13.
Find the solution set of given inequality
(
x
+
6
)
>
0
,
x
∈
Z
(i)
{-6,-7,-8,-9,...}
(ii)
{-7,-8,-9,-10,...}
(iii)
{-5,-4,-3,-2,...}
(iv)
{-6,-5,-4,-3,...}
Question
14
14.
Identify the solution for the inequality
1
≥
(
8
x
+
9
)
>
(
−
27
)
,
x
∈
Z
(i)
II
(ii)
IV
(iii)
I
(iv)
III
Question
15
15.
Find the solution set of
(
−
5
)
<
(
3
x
−
4
)
≤
12
,
x
∈
Z
(i)
{1,2,3,4,5,6}
(ii)
{-2,-1,0,1,2,3}
(iii)
{0,1,2,3,4,5}
(iv)
{2,3,4,5,6,7}
(v)
{-1,0,1,2,3,4}
Question
16
16.
Find the solution set of
2
≤
(
−
4
x
−
7
)
≤
26
,
x
∈
Z
(i)
{-1,-2,-3,-4,-5,-6}
(ii)
{-4,-5,-6,-7,-8,-9}
(iii)
{-3,-4,-5,-6,-7,-8}
(iv)
{-2,-3,-4,-5,-6,-7}
(v)
{-5,-6,-7,-8,-9,-10}
Question
17
17.
Find the solution set for the given inequation
(
−
3
x
+
27
)
>
0
,
where the replacement set is
{11,10,9,8,7,6,5}
(i)
{8,7,6,5,4}
(ii)
{10,11,12,13,14}
(iii)
{9,10,11,12,13}
(iv)
{9,8,7,6,5}
(v)
{8,7,6,5}
Question
18
18.
Find the solution set of given inequality
(
−
6
x
+
36
)
≥
0
,
x
∈
Z
(i)
{6,7,8,9,...}
(ii)
{6,5,4,3,...}
(iii)
{7,8,9,10,...}
(iv)
{5,4,3,2,...}
Question
19
19.
Which of the following inequations is the same as
(
9
x
−
4
)
≥
(
−
9
x
+
2
)
,
x
∈
Z
(i)
(
9
x
−
4
)
<
(
−
45
x
+
10
)
,
x
∈
Z
(ii)
(
45
x
−
20
)
<
(
−
9
x
+
2
)
,
x
∈
Z
(iii)
(
9
x
−
4
)
>
(
−
45
x
+
10
)
,
x
∈
Z
(iv)
(
45
x
−
20
)
>
(
−
9
x
+
2
)
,
x
∈
Z
(v)
(
45
x
−
20
)
≥
(
−
45
x
+
10
)
,
x
∈
Z
Question
20
20.
The solution set of the inequality
(
−
2
x
−
9
)
≥
7
,
x
∈
Z
is
(i)
{0,-1,-2,-3,-4,...}
(ii)
{-7,-6,-5,-4,-3,...}
(iii)
{-8,-9,-10,-11,-12,...}
(iv)
{0,1,2,3,4,...}
(v)
{-9,-10,-11,-12,-13,...}
Question
21
21.
Find the solution set of
(
−
16
)
>
(
−
8
x
−
3
)
≥
(
−
28
)
,
x
∈
Z
(i)
{2,3}
(ii)
{0,1}
(iii)
{3,4}
(iv)
{1,2}
(v)
{4,5}
Question
22
22.
The solution set of the inequality
2
x
≤
(
x
+
5
)
,
x
∈
Z
is
(i)
{2,3,4,5,6,...}
(ii)
{5,4,3,2,1,...}
(iii)
{11,12,13,14,15,...}
(iv)
{5,6,7,8,9,...}
(v)
{6,7,8,9,10,...}
Question
23
23.
Which of the following inequations is the same as
(
−
6
x
−
4
)
>
(
−
3
x
+
2
)
,
x
∈
Z
(i)
(
18
x
+
12
)
<
(
9
x
−
6
)
,
x
∈
Z
(ii)
(
−
6
x
−
4
)
<
(
9
x
−
6
)
,
x
∈
Z
(iii)
(
18
x
+
12
)
<
(
−
3
x
+
2
)
,
x
∈
Z
(iv)
(
18
x
+
12
)
>
(
−
3
x
+
2
)
,
x
∈
Z
(v)
(
−
6
x
−
4
)
>
(
9
x
−
6
)
,
x
∈
Z
Question
24
24.
Identify the solution for the inequality
11
>
(
−
x
+
8
)
≥
5
,
x
∈
R
(i)
II
(ii)
III
(iii)
IV
(iv)
I
Question
25
25.
Identify the solution for the inequality
4
≥
(
−
x
−
1
)
≥
1
,
x
∈
R
(i)
II
(ii)
I
(iii)
IV
(iv)
III
Assignment Key
1) (i)
2) (v)
3) (iv)
4) (iv)
5) (v)
6) (iii)
7) (i)
8) (i)
9) (iv)
10) (i)
11) (iv)
12) (ii)
13) (iii)
14) (i)
15) (iii)
16) (iii)
17) (v)
18) (ii)
19) (v)
20) (iii)
21) (i)
22) (ii)
23) (i)
24) (iii)
25) (ii)
