EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Inequations
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Which of the following is not an inequation?
(i)
(
−
2
x
+
3
)
<
6
,
x
∈
Z
(ii)
(
−
9
x
+
6
)
>
6
,
x
∈
Z
(iii)
(
−
4
x
−
5
)
=
(
−
8
)
(iv)
(
8
x
−
8
)
≥
0
,
x
∈
Z
(v)
7
x
≤
(
−
6
)
,
x
∈
Z
Question
2
2.
The simplified form of the inequality
(
5
x
−
6
)
<
(
−
6
x
+
5
)
,
x
∈
Z
is
(i)
x
<
10
11
,
x
∈
Z
(ii)
x
≥
12
11
,
x
∈
Z
(iii)
x
<
1
,
x
∈
Z
(iv)
x
≤
12
11
,
x
∈
Z
(v)
x
>
10
11
,
x
∈
Z
Question
3
3.
Find the solution set for the given inequation
(
2
x
+
12
)
≤
0
,
where the replacement set is
{-3,-4,-5,-6,-7,-8,-9}
(i)
{-6,-7,-8,-9,-10}
(ii)
{-7,-8,-9,-10,-11}
(iii)
{-6,-5,-4,-3,-2}
(iv)
{-6,-7,-8,-9}
(v)
{-5,-4,-3,-2,-1}
Question
4
4.
The simplified form of the inequality
(
5
x
−
7
)
>
2
,
x
∈
Z
is
(i)
x
>
8
5
,
x
∈
Z
(ii)
x
<
8
5
,
x
∈
Z
(iii)
x
≤
2
,
x
∈
Z
(iv)
x
>
9
5
,
x
∈
Z
(v)
x
≥
2
,
x
∈
Z
Question
5
5.
Which of the following inequations is not the same as
(
−
3
x
+
5
)
>
(
−
7
x
+
1
)
,
x
∈
Z
(i)
(
−
15
x
+
25
)
>
(
49
x
−
7
)
,
x
∈
Z
(ii)
(
21
x
−
35
)
<
(
49
x
−
7
)
,
x
∈
Z
(iii)
(
15
x
−
25
)
<
(
35
x
−
5
)
,
x
∈
Z
(iv)
(
9
x
−
15
)
<
(
21
x
−
3
)
,
x
∈
Z
(v)
(
−
15
x
+
25
)
>
(
−
35
x
+
5
)
,
x
∈
Z
Question
6
6.
Which of the following figures represents the solution set
{-1,-2,-3,-4,-5,-6,...}
(i)
III
(ii)
I
(iii)
II
(iv)
IV
Question
7
7.
The simplified form of the inequality
(
−
8
x
−
2
)
≤
4
,
x
∈
Z
is
(i)
x
≥
(
−
3
4
)
,
x
∈
Z
(ii)
x
<
(
−
5
8
)
,
x
∈
Z
(iii)
x
≥
(
−
7
8
)
,
x
∈
Z
(iv)
x
≤
(
−
7
8
)
,
x
∈
Z
(v)
x
>
(
−
5
8
)
,
x
∈
Z
Question
8
8.
Identify the solution for the inequality
(
−
2
)
≤
(
7
x
−
5
)
<
11
,
x
∈
Z
(i)
II
(ii)
III
(iii)
I
(iv)
IV
Question
9
9.
The solution set of the inequality
(
2
x
+
2
)
>
4
,
x
∈
Z
is
(i)
{0,-1,-2,-3,-4,...}
(ii)
{2,3,4,5,6,...}
(iii)
{1,2,3,4,5,...}
(iv)
{-3,-2,-1,0,1,...}
(v)
{-2,-1,0,1,2,...}
Question
10
10.
The solution set of the inequality
(
4
x
+
8
)
>
(
−
7
x
−
8
)
,
x
∈
Z
is
(i)
{-2,-3,-4,-5,-6,...}
(ii)
{-1,0,1,2,3,...}
(iii)
{1,2,3,4,5,...}
Question
11
11.
Which of the following figures represents the solution set
{-9,-10,-11,-12,-13,-14,...}
(i)
IV
(ii)
III
(iii)
II
(iv)
I
Question
12
12.
Which of the following figures represents the solution set of
(
5
x
+
30
)
≤
0
,
x
∈
R
(i)
IV
(ii)
III
(iii)
I
(iv)
II
Question
13
13.
Which of the following inequations is the same as
(
5
x
−
7
)
≤
(
−
2
x
+
1
)
,
x
∈
Z
(i)
(
5
x
−
7
)
<
(
6
x
−
3
)
,
x
∈
Z
(ii)
(
−
15
x
+
21
)
<
(
−
2
x
+
1
)
,
x
∈
Z
(iii)
(
−
15
x
+
21
)
≥
(
6
x
−
3
)
,
x
∈
Z
(iv)
(
5
x
−
7
)
>
(
6
x
−
3
)
,
x
∈
Z
(v)
(
−
15
x
+
21
)
>
(
−
2
x
+
1
)
,
x
∈
Z
Question
14
14.
Identify the solution for the inequality
6
x
>
0
,
x
∈
N
(i)
I
(ii)
III
(iii)
II
(iv)
IV
Question
15
15.
Identify the solution for the inequality
(
−
22
)
<
(
3
x
+
2
)
<
8
,
x
∈
R
(i)
II
(ii)
IV
(iii)
I
(iv)
III
Question
16
16.
Find the solution set of given inequality
(
x
−
2
)
≤
0
,
x
∈
Z
(i)
{2,1,0,-1,...}
(ii)
{3,4,5,6,...}
(iii)
{1,0,-1,-2,...}
(iv)
{2,3,4,5,...}
Question
17
17.
Which of the following inequations is the same as
(
6
x
+
2
)
>
(
−
5
x
−
6
)
,
x
∈
Z
(i)
(
6
x
+
2
)
<
(
20
x
+
24
)
,
x
∈
Z
(ii)
(
6
x
+
2
)
>
(
20
x
+
24
)
,
x
∈
Z
(iii)
(
−
24
x
−
8
)
>
(
−
5
x
−
6
)
,
x
∈
Z
(iv)
(
−
24
x
−
8
)
<
(
−
5
x
−
6
)
,
x
∈
Z
(v)
(
−
24
x
−
8
)
<
(
20
x
+
24
)
,
x
∈
Z
Question
18
18.
Which of the following figures represents the solution set of
(
8
x
+
64
)
≥
0
,
x
∈
R
(i)
I
(ii)
III
(iii)
II
(iv)
IV
Question
19
19.
Find the solution set of
(
−
3
)
≥
(
4
x
−
7
)
≥
(
−
27
)
,
x
∈
Z
(i)
{1,0,-1,-2,-3,-4,-5}
(ii)
{0,-1,-2,-3,-4,-5,-6}
(iii)
{2,1,0,-1,-2,-3,-4}
(iv)
{3,2,1,0,-1,-2,-3}
(v)
{-1,-2,-3,-4,-5,-6,-7}
Question
20
20.
Identify the solution for the inequality
(
−
4
x
+
8
)
<
0
,
x
∈
N
(i)
II
(ii)
I
(iii)
III
(iv)
IV
Question
21
21.
The simplified form of the inequality
(
−
5
x
−
3
)
>
(
6
x
+
3
)
,
x
∈
Z
is
(i)
x
<
(
−
6
11
)
,
x
∈
Z
(ii)
x
≥
(
−
7
11
)
,
x
∈
Z
(iii)
x
<
(
−
5
11
)
,
x
∈
Z
(iv)
x
≤
(
−
7
11
)
,
x
∈
Z
(v)
x
>
(
−
5
11
)
,
x
∈
Z
Question
22
22.
Which of the following inequations is the same as
(
3
x
−
7
)
≤
(
x
−
2
)
,
x
∈
Z
(i)
(
9
x
−
7
)
≤
(
7
x
−
2
)
,
x
∈
Z
(ii)
(
3
x
−
7
)
<
(
7
x
−
2
)
,
x
∈
Z
(iii)
(
9
x
−
7
)
>
(
x
−
2
)
,
x
∈
Z
(iv)
(
9
x
−
7
)
<
(
x
−
2
)
,
x
∈
Z
(v)
(
3
x
−
7
)
>
(
7
x
−
2
)
,
x
∈
Z
Question
23
23.
Find the solution set of
3
<
(
−
3
x
+
7
)
<
26
,
x
∈
Z
(i)
{0,-1,-2,-3,-4,-5,-6,-7}
(ii)
{2,1,0,-1,-2,-3,-4,-5}
(iii)
{-1,-2,-3,-4,-5,-6,-7,-8}
(iv)
{3,2,1,0,-1,-2,-3,-4}
(v)
{1,0,-1,-2,-3,-4,-5,-6}
Question
24
24.
Identify the solution for the inequality
13
≤
(
−
x
+
9
)
≤
16
,
x
∈
R
(i)
IV
(ii)
I
(iii)
III
(iv)
II
Question
25
25.
Which of the following inequations is not the same as
(
4
x
−
6
)
≤
(
5
x
−
8
)
,
x
∈
Z
(i)
(
−
28
x
+
42
)
≥
(
−
35
x
+
56
)
,
x
∈
Z
(ii)
(
−
28
x
+
42
)
≤
(
−
5
x
+
8
)
,
x
∈
Z
(iii)
(
−
4
x
+
6
)
≥
(
−
5
x
+
8
)
,
x
∈
Z
(iv)
(
−
20
x
+
30
)
≥
(
−
25
x
+
40
)
,
x
∈
Z
(v)
(
32
x
−
48
)
≤
(
40
x
−
64
)
,
x
∈
Z
Assignment Key
1) (iii)
2) (iii)
3) (iv)
4) (iv)
5) (i)
6) (iii)
7) (i)
8) (iv)
9) (ii)
10) (ii)
11) (i)
12) (iv)
13) (iii)
14) (ii)
15) (iv)
16) (i)
17) (v)
18) (i)
19) (i)
20) (i)
21) (i)
22) (i)
23) (v)
24) (iii)
25) (ii)
