EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Inequations
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Which of the following inequations is not the same as
(
−
6
x
+
5
)
<
(
−
8
x
−
8
)
,
x
∈
Z
(i)
(
3
x
+
2
)
<
(
−
9
x
−
9
)
,
x
∈
Z
(ii)
(
−
7
x
+
4
)
<
(
−
9
x
−
9
)
,
x
∈
Z
(iii)
(
−
9
x
+
12
)
<
(
−
11
x
−
1
)
,
x
∈
Z
(iv)
(
3
x
+
2
)
<
(
x
−
11
)
,
x
∈
Z
(v)
(
x
+
1
)
<
(
−
x
−
12
)
,
x
∈
Z
Question
2
2.
Find the solution set of
5
>
(
2
x
−
1
)
>
(
−
7
)
,
x
∈
Z
(i)
{1,0,-1,-2,-3}
(ii)
{2,1,0,-1,-2}
(iii)
{0,-1,-2,-3,-4}
(iv)
{3,2,1,0,-1}
(v)
{4,3,2,1,0}
Question
3
3.
Find the solution set for the given inequation
(
5
x
−
15
)
≤
0
,
where the replacement set is
{6,5,4,3,2,1,0}
(i)
{4,5,6,7,8}
(ii)
{3,2,1,0}
(iii)
{3,2,1,0,-1}
(iv)
{3,4,5,6,7}
(v)
{2,1,0,-1,-2}
Question
4
4.
Identify the solution for the inequality
(
−
7
x
+
21
)
≥
0
,
x
∈
W
(i)
II
(ii)
III
(iii)
I
(iv)
IV
Question
5
5.
Which of the following figures represents the solution set
{7,8,9,10,11,12,...}
(i)
III
(ii)
I
(iii)
II
(iv)
IV
Question
6
6.
Identify the solution for the inequality
(
−
5
x
+
45
)
>
0
,
x
∈
N
(i)
IV
(ii)
I
(iii)
III
(iv)
II
Question
7
7.
Which of the following inequations is the same as
(
x
+
5
)
≥
(
−
6
x
+
4
)
,
x
∈
Z
(i)
(
x
+
5
)
<
(
−
7
x
−
3
)
,
x
∈
Z
(ii)
(
−
2
)
<
(
−
6
x
+
4
)
,
x
∈
Z
(iii)
(
x
+
5
)
>
(
−
7
x
−
3
)
,
x
∈
Z
(iv)
(
−
2
)
>
(
−
6
x
+
4
)
,
x
∈
Z
(v)
(
−
2
)
≥
(
−
7
x
−
3
)
,
x
∈
Z
Question
8
8.
Solve the inequation
(
x
−
3
)
>
0
,
x
∈
Z
(i)
{4,5,6,7,8,...}
(ii)
{2,1,0,-1,-2,...}
(iii)
{3,2,1,0,-1,...}
(iv)
{3,4,5,6,7,...}
Question
9
9.
Solve the inequation
(
2
x
+
6
)
≥
0
,
x
∈
Z
(i)
{-4,-5,-6,-7,-8,...}
(ii)
{-3,-4,-5,-6,-7,...}
(iii)
{-2,-1,0,1,2,...}
(iv)
{-3,-2,-1,0,1,...}
Question
10
10.
The simplified form of the inequality
(
−
4
x
−
1
)
<
4
,
x
∈
Z
is
(i)
x
>
(
−
1
)
,
x
∈
Z
(ii)
x
>
(
−
5
4
)
,
x
∈
Z
(iii)
x
≥
(
−
3
2
)
,
x
∈
Z
(iv)
x
≤
(
−
3
2
)
,
x
∈
Z
(v)
x
<
(
−
1
)
,
x
∈
Z
Question
11
11.
Which of the following inequations is not the same as
(
−
9
x
+
5
)
>
(
2
x
−
2
)
,
x
∈
Z
(i)
(
36
x
−
20
)
<
(
−
8
x
+
8
)
,
x
∈
Z
(ii)
(
81
x
−
45
)
<
(
−
18
x
+
18
)
,
x
∈
Z
(iii)
(
−
18
x
+
10
)
>
(
4
x
−
4
)
,
x
∈
Z
(iv)
(
−
54
x
+
30
)
>
(
−
18
x
+
18
)
,
x
∈
Z
(v)
(
−
54
x
+
30
)
>
(
12
x
−
12
)
,
x
∈
Z
Question
12
12.
Identify the solution for the inequality
(
4
x
−
8
)
>
0
,
x
∈
W
(i)
III
(ii)
II
(iii)
IV
(iv)
I
Question
13
13.
The solution set of the inequality
(
−
4
x
−
7
)
≥
(
−
8
)
,
x
∈
Z
is
(i)
{1,2,3,4,5,...}
(ii)
{0,-1,-2,-3,-4,...}
(iii)
{0,1,2,3,4,...}
Question
14
14.
The solution set of the inequality
(
−
5
x
+
4
)
>
(
3
x
−
2
)
,
x
∈
Z
is
(i)
{0,-1,-2,-3,-4,...}
(ii)
{-1,-2,-3,-4,-5,...}
(iii)
{1,2,3,4,5,...}
Question
15
15.
Identify the solution for the inequality
(
−
1
)
≤
(
4
x
+
5
)
<
15
,
x
∈
Z
(i)
I
(ii)
III
(iii)
IV
(iv)
II
Question
16
16.
The solution set of the inequality
(
−
5
x
+
8
)
≥
(
−
2
x
+
6
)
,
x
∈
Z
is
(i)
{0,-1,-2,-3,-4,...}
(ii)
{1,2,3,4,5,...}
(iii)
{0,1,2,3,4,...}
Question
17
17.
Which of the following inequations is the same as
(
−
7
x
−
4
)
<
(
−
4
x
+
1
)
,
x
∈
Z
(i)
(
−
14
x
−
8
)
>
(
−
4
x
+
1
)
,
x
∈
Z
(ii)
(
−
14
x
−
8
)
<
(
−
8
x
+
2
)
,
x
∈
Z
(iii)
(
−
14
x
−
8
)
<
(
−
4
x
+
1
)
,
x
∈
Z
(iv)
(
−
7
x
−
4
)
>
(
−
8
x
+
2
)
,
x
∈
Z
(v)
(
−
7
x
−
4
)
<
(
−
8
x
+
2
)
,
x
∈
Z
Question
18
18.
Identify the solution for the inequality
0
<
(
−
8
x
+
6
)
≤
28
,
x
∈
Z
(i)
III
(ii)
I
(iii)
II
(iv)
IV
Question
19
19.
Identify the solution for the inequality
(
−
32
)
<
(
−
6
x
−
2
)
<
(
−
14
)
,
x
∈
R
(i)
II
(ii)
IV
(iii)
III
(iv)
I
Question
20
20.
Identify the solution for the inequality
7
≤
2
x
≤
15
,
x
∈
Z
(i)
IV
(ii)
III
(iii)
II
(iv)
I
Question
21
21.
Identify the solution for the inequality
22
>
(
−
2
x
+
6
)
≥
(
−
2
)
,
x
∈
R
(i)
I
(ii)
II
(iii)
III
(iv)
IV
Question
22
22.
Identify the solution for the inequality
(
−
6
x
+
42
)
<
0
,
x
∈
N
(i)
I
(ii)
III
(iii)
IV
(iv)
II
Question
23
23.
The simplified form of the inequality
(
2
x
−
1
)
≤
9
,
x
∈
Z
is
(i)
x
≤
5
,
x
∈
Z
(ii)
x
≤
11
2
,
x
∈
Z
(iii)
x
≥
11
2
,
x
∈
Z
(iv)
x
<
9
2
,
x
∈
Z
(v)
x
>
9
2
,
x
∈
Z
Question
24
24.
Which of the following inequations is the same as
5
x
≥
(
−
x
−
7
)
,
x
∈
Z
(i)
(
−
10
x
)
≤
(
2
x
+
14
)
,
x
∈
Z
(ii)
(
−
10
x
)
>
(
−
x
−
7
)
,
x
∈
Z
(iii)
(
−
10
x
)
<
(
−
x
−
7
)
,
x
∈
Z
(iv)
5
x
>
(
2
x
+
14
)
,
x
∈
Z
(v)
5
x
<
(
2
x
+
14
)
,
x
∈
Z
Question
25
25.
The simplified form of the inequality
(
−
x
)
<
(
7
x
+
6
)
,
x
∈
Z
is
(i)
x
>
(
−
5
8
)
,
x
∈
Z
(ii)
x
≥
(
−
7
8
)
,
x
∈
Z
(iii)
x
≤
(
−
7
8
)
,
x
∈
Z
(iv)
x
<
(
−
5
8
)
,
x
∈
Z
(v)
x
>
(
−
3
4
)
,
x
∈
Z
Assignment Key
1) (i)
2) (ii)
3) (ii)
4) (iv)
5) (ii)
6) (i)
7) (v)
8) (i)
9) (iv)
10) (ii)
11) (iv)
12) (iv)
13) (ii)
14) (i)
15) (iii)
16) (i)
17) (ii)
18) (iii)
19) (iii)
20) (iii)
21) (iv)
22) (i)
23) (i)
24) (i)
25) (v)
