EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Inequations
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Find the solution set for the given inequation
(
−
x
+
2
)
≤
0
,
where the replacement set is
{-1,0,1,2,3,4,5}
(i)
{2,3,4,5}
(ii)
{2,3,4,5,6}
(iii)
{1,0,-1,-2,-3}
(iv)
{2,1,0,-1,-2}
(v)
{3,4,5,6,7}
Question
2
2.
Which of the following inequations is not the same as
(
−
3
x
+
3
)
≤
(
−
5
x
+
9
)
,
x
∈
Z
(i)
(
−
5
x
+
11
)
≤
(
−
7
x
+
17
)
,
x
∈
Z
(ii)
(
2
x
−
6
)
≤
0
,
x
∈
Z
(iii)
(
2
x
−
6
)
≤
(
−
11
x
+
1
)
,
x
∈
Z
(iv)
(
−
9
x
−
5
)
≤
(
−
11
x
+
1
)
,
x
∈
Z
(v)
(
−
11
x
+
5
)
≤
(
−
13
x
+
11
)
,
x
∈
Z
Question
3
3.
The simplified form of the inequality
(
8
x
−
5
)
<
0
,
x
∈
Z
is
(i)
x
≥
3
4
,
x
∈
Z
(ii)
x
≤
3
4
,
x
∈
Z
(iii)
x
<
1
2
,
x
∈
Z
(iv)
x
<
5
8
,
x
∈
Z
(v)
x
>
1
2
,
x
∈
Z
Question
4
4.
Identify the solution for the inequality
9
≤
(
6
x
−
7
)
≤
23
,
x
∈
Z
(i)
I
(ii)
II
(iii)
III
(iv)
IV
Question
5
5.
Find the solution set of
(
−
8
)
≤
(
−
5
x
+
8
)
≤
17
,
x
∈
Z
(i)
{5,4,3,2,1}
(ii)
{4,3,2,1,0}
(iii)
{3,2,1,0,-1}
(iv)
{2,1,0,-1,-2}
(v)
{1,0,-1,-2,-3}
Question
6
6.
Find the solution set of given inequality
(
−
7
x
)
<
0
,
x
∈
Z
(i)
{-1,-2,-3,-4,...}
(ii)
{0,-1,-2,-3,...}
(iii)
{0,1,2,3,...}
(iv)
{1,2,3,4,...}
Question
7
7.
Which of the following is not an inequation?
(i)
(
7
x
+
7
)
>
(
−
9
)
,
x
∈
Z
(ii)
(
7
x
−
5
)
≥
(
−
2
)
,
x
∈
Z
(iii)
(
x
+
6
)
<
(
−
9
)
,
x
∈
Z
(iv)
(
4
x
+
5
)
=
1
(v)
(
−
3
x
+
5
)
≤
3
,
x
∈
Z
Question
8
8.
Identify the solution for the inequality
(
−
3
x
+
24
)
≤
0
,
x
∈
N
(i)
III
(ii)
IV
(iii)
I
(iv)
II
Question
9
9.
Which of the following figures represents the solution set
{-1,0,1,2,3,4,...}
(i)
III
(ii)
I
(iii)
IV
(iv)
II
Question
10
10.
Find the solution set of
2
<
(
−
3
x
−
2
)
≤
25
,
x
∈
Z
(i)
{-3,-4,-5,-6,-7,-8,-9,-10}
(ii)
{-2,-3,-4,-5,-6,-7,-8,-9}
(iii)
{-1,-2,-3,-4,-5,-6,-7,-8}
(iv)
{0,-1,-2,-3,-4,-5,-6,-7}
(v)
{-4,-5,-6,-7,-8,-9,-10,-11}
Question
11
11.
Which of the following inequations is the same as
(
−
3
x
+
8
)
≥
(
−
4
x
−
7
)
,
x
∈
Z
(i)
(
−
3
x
+
8
)
<
(
x
−
5
)
,
x
∈
Z
(ii)
(
−
3
x
+
8
)
>
(
x
−
5
)
,
x
∈
Z
(iii)
(
2
x
+
10
)
>
(
−
4
x
−
7
)
,
x
∈
Z
(iv)
(
2
x
+
10
)
≥
(
x
−
5
)
,
x
∈
Z
(v)
(
2
x
+
10
)
<
(
−
4
x
−
7
)
,
x
∈
Z
Question
12
12.
Identify the solution for the inequality
31
≤
(
−
8
x
−
1
)
<
63
,
x
∈
R
(i)
II
(ii)
IV
(iii)
I
(iv)
III
Question
13
13.
Identify the solution for the inequality
(
−
6
)
>
(
−
7
x
+
7
)
>
(
−
19
)
,
x
∈
Z
(i)
III
(ii)
II
(iii)
IV
(iv)
I
Question
14
14.
Which of the following inequations is the same as
(
8
x
−
1
)
≥
(
−
4
x
+
1
)
,
x
∈
Z
(i)
(
11
x
−
5
)
<
(
−
4
x
+
1
)
,
x
∈
Z
(ii)
(
8
x
−
1
)
<
(
−
x
−
3
)
,
x
∈
Z
(iii)
(
11
x
−
5
)
≥
(
−
x
−
3
)
,
x
∈
Z
(iv)
(
11
x
−
5
)
>
(
−
4
x
+
1
)
,
x
∈
Z
(v)
(
8
x
−
1
)
>
(
−
x
−
3
)
,
x
∈
Z
Question
15
15.
The simplified form of the inequality
(
6
x
+
5
)
>
(
4
x
−
3
)
,
x
∈
Z
is
(i)
x
<
(
−
9
2
)
,
x
∈
Z
(ii)
x
>
(
−
4
)
,
x
∈
Z
(iii)
x
≥
(
−
7
2
)
,
x
∈
Z
(iv)
x
≤
(
−
7
2
)
,
x
∈
Z
(v)
x
>
(
−
9
2
)
,
x
∈
Z
Question
16
16.
Find the solution set of given inequality
(
−
x
+
9
)
≥
0
,
x
∈
Z
(i)
{10,11,12,13,...}
(ii)
{9,10,11,12,...}
(iii)
{8,7,6,5,...}
(iv)
{9,8,7,6,...}
Question
17
17.
Which of the following inequations is not the same as
(
−
6
x
+
4
)
<
(
6
x
+
3
)
,
x
∈
Z
(i)
(
−
5
x
−
2
)
<
(
7
x
−
3
)
,
x
∈
Z
(ii)
(
−
4
x
−
2
)
<
(
3
x
+
2
)
,
x
∈
Z
(iii)
(
−
9
x
+
3
)
<
(
3
x
+
2
)
,
x
∈
Z
(iv)
(
−
2
x
+
8
)
<
(
10
x
+
7
)
,
x
∈
Z
(v)
(
−
4
x
−
2
)
<
(
8
x
−
3
)
,
x
∈
Z
Question
18
18.
Identify the solution for the inequality
(
−
21
)
>
(
−
6
x
+
3
)
≥
(
−
39
)
,
x
∈
R
(i)
III
(ii)
IV
(iii)
II
(iv)
I
Question
19
19.
The simplified form of the inequality
(
−
3
x
+
3
)
<
(
6
x
+
7
)
,
x
∈
Z
is
(i)
x
≤
(
−
5
9
)
,
x
∈
Z
(ii)
x
>
(
−
4
9
)
,
x
∈
Z
(iii)
x
<
(
−
1
3
)
,
x
∈
Z
(iv)
x
≥
(
−
5
9
)
,
x
∈
Z
(v)
x
>
(
−
1
3
)
,
x
∈
Z
Question
20
20.
Find the solution set for the given inequation
(
−
x
+
1
)
>
0
,
where the replacement set is
{3,2,1,0,-1,-2,-3}
(i)
{1,2,3,4,5}
(ii)
{0,-1,-2,-3,-4}
(iii)
{0,-1,-2,-3}
(iv)
{2,3,4,5,6}
(v)
{1,0,-1,-2,-3}
Question
21
21.
Which of the following inequations is the same as
(
4
x
−
7
)
≤
(
−
5
x
+
6
)
,
x
∈
Z
(i)
(
−
x
−
2
)
<
(
−
5
x
+
6
)
,
x
∈
Z
(ii)
(
−
x
−
2
)
>
(
−
5
x
+
6
)
,
x
∈
Z
(iii)
(
4
x
−
7
)
>
(
−
10
x
+
11
)
,
x
∈
Z
(iv)
(
−
x
−
2
)
≤
(
−
10
x
+
11
)
,
x
∈
Z
(v)
(
4
x
−
7
)
<
(
−
10
x
+
11
)
,
x
∈
Z
Question
22
22.
Find the solution set of
(
−
5
)
<
(
−
6
x
−
5
)
<
21
,
x
∈
Z
(i)
{1,0,-1,-2}
(ii)
{-1,-2,-3,-4}
(iii)
{-3,-4,-5,-6}
(iv)
{0,-1,-2,-3}
(v)
{-2,-3,-4,-5}
Question
23
23.
Find the solution set of
11
≥
(
9
x
+
5
)
>
(
−
18
)
,
x
∈
Z
(i)
{-1,-2,-3}
(ii)
{-2,-3,-4}
(iii)
{2,1,0}
(iv)
{1,0,-1}
(v)
{0,-1,-2}
Question
24
24.
Identify the solution for the inequality
3
<
(
−
5
x
−
7
)
≤
33
,
x
∈
R
(i)
IV
(ii)
II
(iii)
III
(iv)
I
Question
25
25.
Find the solution set for the given inequation
(
4
x
−
4
)
≥
0
,
where the replacement set is
{-2,-1,0,1,2,3,4}
(i)
{1,2,3,4,5}
(ii)
{2,3,4,5,6}
(iii)
{1,2,3,4}
(iv)
{0,-1,-2,-3,-4}
(v)
{1,0,-1,-2,-3}
Assignment Key
1) (i)
2) (iii)
3) (iv)
4) (ii)
5) (iii)
6) (iv)
7) (iv)
8) (iii)
9) (iii)
10) (ii)
11) (iv)
12) (iii)
13) (iii)
14) (iii)
15) (ii)
16) (iv)
17) (ii)
18) (iv)
19) (ii)
20) (iii)
21) (iv)
22) (ii)
23) (v)
24) (iv)
25) (iii)
