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
(
7
x
−
21
)
≤
0
,
x
∈
W
(i)
III
(ii)
II
(iii)
IV
(iv)
I
Question
2
2.
Which of the following figures represents the solution set of
(
−
6
x
+
6
)
>
0
,
x
∈
R
(i)
II
(ii)
I
(iii)
IV
(iv)
III
Question
3
3.
Find the solution set of
4
≥
(
−
2
x
−
7
)
≥
(
−
4
)
,
x
∈
Z
(i)
{-7,-6,-5,-4}
(ii)
{-6,-5,-4,-3}
(iii)
{-3,-2,-1,0}
(iv)
{-5,-4,-3,-2}
(v)
{-4,-3,-2,-1}
Question
4
4.
Identify the solution for the inequality
(
−
x
+
5
)
≥
0
,
x
∈
W
(i)
IV
(ii)
I
(iii)
II
(iv)
III
Question
5
5.
Identify the solution for the inequality
(
8
x
−
56
)
>
0
,
x
∈
N
(i)
IV
(ii)
I
(iii)
II
(iv)
III
Question
6
6.
The solution set of the inequality
(
4
x
+
2
)
>
5
,
x
∈
Z
is
(i)
{3,4,5,6,7,...}
(ii)
{-10,-9,-8,-7,-6,...}
(iii)
{1,2,3,4,5,...}
(iv)
{0,-1,-2,-3,-4,...}
Question
7
7.
Identify the solution for the inequality
(
−
6
x
+
42
)
≥
0
,
x
∈
Z
(i)
III
(ii)
II
(iii)
IV
(iv)
I
Question
8
8.
Which of the following inequations is the same as
(
8
x
+
1
)
>
(
−
8
x
+
1
)
,
x
∈
Z
(i)
(
8
x
+
1
)
<
(
64
x
−
8
)
,
x
∈
Z
(ii)
(
−
64
x
−
8
)
<
(
64
x
−
8
)
,
x
∈
Z
(iii)
(
−
64
x
−
8
)
>
(
−
8
x
+
1
)
,
x
∈
Z
(iv)
(
−
64
x
−
8
)
<
(
−
8
x
+
1
)
,
x
∈
Z
(v)
(
8
x
+
1
)
>
(
64
x
−
8
)
,
x
∈
Z
Question
9
9.
Find the solution set for the given inequation
(
4
x
+
12
)
>
0
,
where the replacement set is
{-5,-4,-3,-2,-1,0,1}
(i)
{-2,-1,0,1,2}
(ii)
{-2,-1,0,1}
(iii)
{-3,-2,-1,0,1}
(iv)
{-3,-4,-5,-6,-7}
(v)
{-4,-5,-6,-7,-8}
Question
10
10.
Which of the following figures represents the solution set
{-3,-2,-1,0,1,2,...}
(i)
IV
(ii)
I
(iii)
III
(iv)
II
Question
11
11.
Find the solution set of
(
−
3
)
≤
(
−
5
x
+
7
)
<
22
,
x
∈
Z
(i)
{1,0,-1,-2,-3}
(ii)
{3,2,1,0,-1}
(iii)
{4,3,2,1,0}
(iv)
{2,1,0,-1,-2}
(v)
{0,-1,-2,-3,-4}
Question
12
12.
Which of the following inequations is the same as
(
9
x
−
5
)
≤
3
x
,
x
∈
Z
(i)
(
17
x
−
9
)
>
3
x
,
x
∈
Z
(ii)
(
17
x
−
9
)
≤
(
11
x
−
4
)
,
x
∈
Z
(iii)
(
17
x
−
9
)
<
3
x
,
x
∈
Z
(iv)
(
9
x
−
5
)
<
(
11
x
−
4
)
,
x
∈
Z
(v)
(
9
x
−
5
)
>
(
11
x
−
4
)
,
x
∈
Z
Question
13
13.
Identify the solution for the inequality
(
−
3
)
<
(
3
x
−
3
)
≤
18
,
x
∈
R
(i)
II
(ii)
IV
(iii)
I
(iv)
III
Question
14
14.
Identify the solution for the inequality
11
≥
(
−
2
x
−
1
)
≥
(
−
15
)
,
x
∈
R
(i)
IV
(ii)
III
(iii)
II
(iv)
I
Question
15
15.
The solution set of the inequality
(
−
x
+
6
)
≥
(
−
6
)
,
x
∈
Z
is
(i)
{13,14,15,16,17,...}
(ii)
{-2,-3,-4,-5,-6,...}
(iii)
{0,1,2,3,4,...}
(iv)
{12,11,10,9,8,...}
(v)
{11,10,9,8,7,...}
Question
16
16.
Which of the following inequations is not the same as
3
x
≥
(
−
8
x
+
7
)
,
x
∈
Z
(i)
4
x
≥
(
−
7
x
+
7
)
,
x
∈
Z
(ii)
(
−
x
+
3
)
≥
(
−
12
x
+
10
)
,
x
∈
Z
(iii)
(
−
2
x
−
8
)
≥
(
−
6
x
+
2
)
,
x
∈
Z
(iv)
(
−
2
x
−
8
)
≥
(
−
13
x
−
1
)
,
x
∈
Z
(v)
(
5
x
−
5
)
≥
(
−
6
x
+
2
)
,
x
∈
Z
Question
17
17.
Identify the solution for the inequality
(
−
x
+
5
)
>
0
,
x
∈
Z
(i)
II
(ii)
I
(iii)
IV
(iv)
III
Question
18
18.
Identify the solution for the inequality
0
<
(
−
4
x
+
2
)
<
24
,
x
∈
Z
(i)
II
(ii)
I
(iii)
III
(iv)
IV
Question
19
19.
Identify the solution for the inequality
0
≥
(
4
x
−
8
)
>
(
−
44
)
,
x
∈
R
(i)
III
(ii)
II
(iii)
I
(iv)
IV
Question
20
20.
Identify the solution for the inequality
(
−
x
−
2
)
<
0
,
x
∈
W
(i)
IV
(ii)
III
(iii)
I
(iv)
II
Question
21
21.
Identify the solution for the inequality
1
>
(
−
8
x
+
4
)
>
(
−
11
)
,
x
∈
Z
(i)
IV
(ii)
II
(iii)
I
(iv)
III
Question
22
22.
The simplified form of the inequality
(
3
x
−
3
)
>
(
−
5
x
−
4
)
,
x
∈
Z
is
(i)
x
<
(
−
1
4
)
,
x
∈
Z
(ii)
x
>
(
−
1
4
)
,
x
∈
Z
(iii)
x
≤
0
,
x
∈
Z
(iv)
x
>
(
−
1
8
)
,
x
∈
Z
(v)
x
≥
0
,
x
∈
Z
Question
23
23.
Identify the solution for the inequality
(
2
x
+
14
)
<
0
,
x
∈
Z
(i)
I
(ii)
III
(iii)
II
(iv)
IV
Question
24
24.
Identify the solution for the inequality
(
8
x
−
64
)
≤
0
,
x
∈
N
(i)
III
(ii)
IV
(iii)
I
(iv)
II
Question
25
25.
Which of the following inequations is not the same as
(
−
5
x
+
1
)
≤
(
5
x
−
5
)
,
x
∈
Z
(i)
(
3
x
+
10
)
≤
(
13
x
−
3
)
,
x
∈
Z
(ii)
(
2
x
+
10
)
≤
(
12
x
+
4
)
,
x
∈
Z
(iii)
(
3
x
+
10
)
≤
(
13
x
+
4
)
,
x
∈
Z
(iv)
(
−
9
x
+
2
)
≤
(
x
−
4
)
,
x
∈
Z
(v)
(
3
x
+
3
)
≤
(
13
x
−
3
)
,
x
∈
Z
Assignment Key
1) (ii)
2) (iii)
3) (iv)
4) (iv)
5) (ii)
6) (iii)
7) (ii)
8) (ii)
9) (ii)
10) (iv)
11) (iv)
12) (ii)
13) (ii)
14) (i)
15) (iv)
16) (iii)
17) (ii)
18) (ii)
19) (ii)
20) (ii)
21) (iv)
22) (iv)
23) (i)
24) (i)
25) (i)
