EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Inequations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find the solution set of given inequality
(
3
x
−
21
)
>
0
,
x
∈
Z
(i)
{7,6,5,4,...}
(ii)
{7,8,9,10,...}
(iii)
{6,5,4,3,...}
(iv)
{8,9,10,11,...}
Question
2
2.
Find the solution set of given inequality
(
−
7
x
−
7
)
≤
0
,
x
∈
Z
(i)
{-2,-3,-4,-5,...}
(ii)
{-1,0,1,2,...}
(iii)
{0,1,2,3,...}
(iv)
{-1,-2,-3,-4,...}
Question
3
3.
Which of the following figures represents the solution set
{-1,0,1,2,3,4,...}
(i)
III
(ii)
II
(iii)
IV
(iv)
I
Question
4
4.
Solve the inequation
(
−
2
x
+
8
)
≥
0
,
x
∈
Z
(i)
{3,2,1,0,-1,...}
(ii)
{5,6,7,8,9,...}
(iii)
{4,3,2,1,0,...}
(iv)
{4,5,6,7,8,...}
Question
5
5.
Identify the solution for the inequality
11
≤
4
x
≤
27
,
x
∈
Z
(i)
III
(ii)
I
(iii)
IV
(iv)
II
Question
6
6.
Identify the solution for the inequality
(
−
3
x
−
27
)
≤
0
,
x
∈
N
(i)
I
(ii)
III
(iii)
IV
(iv)
II
Question
7
7.
The simplified form of the inequality
(
2
x
−
3
)
≥
(
−
6
)
,
x
∈
Z
is
(i)
x
≥
(
−
3
2
)
,
x
∈
Z
(ii)
x
<
(
−
2
)
,
x
∈
Z
(iii)
x
>
(
−
2
)
,
x
∈
Z
(iv)
x
≥
(
−
1
)
,
x
∈
Z
(v)
x
≤
(
−
1
)
,
x
∈
Z
Question
8
8.
Which of the following inequations is not the same as
(
5
x
−
9
)
≤
(
3
x
−
2
)
,
x
∈
Z
(i)
(
−
2
x
−
15
)
≤
(
2
x
−
2
)
,
x
∈
Z
(ii)
(
−
2
x
−
15
)
≤
(
−
4
x
−
8
)
,
x
∈
Z
(iii)
(
−
11
)
≤
(
−
2
x
−
4
)
,
x
∈
Z
(iv)
(
7
x
−
4
)
≤
(
5
x
+
3
)
,
x
∈
Z
(v)
(
4
x
−
9
)
≤
(
2
x
−
2
)
,
x
∈
Z
Question
9
9.
Which of the following inequations is the same as
(
8
x
+
1
)
≤
(
3
x
+
8
)
,
x
∈
Z
(i)
(
14
x
−
8
)
<
(
3
x
+
8
)
,
x
∈
Z
(ii)
(
8
x
+
1
)
<
(
9
x
−
1
)
,
x
∈
Z
(iii)
(
14
x
−
8
)
≤
(
9
x
−
1
)
,
x
∈
Z
(iv)
(
8
x
+
1
)
>
(
9
x
−
1
)
,
x
∈
Z
(v)
(
14
x
−
8
)
>
(
3
x
+
8
)
,
x
∈
Z
Question
10
10.
Find the solution set of
(
−
6
)
>
(
x
+
4
)
≥
(
−
17
)
,
x
∈
Z
(i)
{-10,-11,-12,-13,-14,-15,-16,-17,-18,-19,-20}
(ii)
{-9,-10,-11,-12,-13,-14,-15,-16,-17,-18,-19}
(iii)
{-12,-13,-14,-15,-16,-17,-18,-19,-20,-21,-22}
(iv)
{-13,-14,-15,-16,-17,-18,-19,-20,-21,-22,-23}
(v)
{-11,-12,-13,-14,-15,-16,-17,-18,-19,-20,-21}
Question
11
11.
Which of the following figures represents the solution set
{3,2,1,0,-1,-2,...}
(i)
II
(ii)
I
(iii)
III
(iv)
IV
Question
12
12.
Identify the solution for the inequality
(
5
x
−
45
)
<
0
,
x
∈
N
(i)
I
(ii)
IV
(iii)
II
(iv)
III
Question
13
13.
The simplified form of the inequality
(
−
8
x
+
1
)
≥
(
−
x
+
2
)
,
x
∈
Z
is
(i)
x
<
0
,
x
∈
Z
(ii)
x
≤
(
−
2
7
)
,
x
∈
Z
(iii)
x
≤
(
−
1
7
)
,
x
∈
Z
(iv)
x
>
0
,
x
∈
Z
(v)
x
≥
(
−
2
7
)
,
x
∈
Z
Question
14
14.
Find the solution set of
0
<
(
−
5
x
+
8
)
≤
25
,
x
∈
Z
(i)
{0,-1,-2,-3,-4}
(ii)
{2,1,0,-1,-2}
(iii)
{1,0,-1,-2,-3}
(iv)
{-1,-2,-3,-4,-5}
(v)
{3,2,1,0,-1}
Question
15
15.
Which of the following inequations is the same as
(
−
5
x
−
4
)
≤
(
3
x
−
8
)
,
x
∈
Z
(i)
(
35
x
+
28
)
>
(
3
x
−
8
)
,
x
∈
Z
(ii)
(
35
x
+
28
)
≥
(
−
21
x
+
56
)
,
x
∈
Z
(iii)
(
−
5
x
−
4
)
>
(
−
21
x
+
56
)
,
x
∈
Z
(iv)
(
−
5
x
−
4
)
<
(
−
21
x
+
56
)
,
x
∈
Z
(v)
(
35
x
+
28
)
<
(
3
x
−
8
)
,
x
∈
Z
Question
16
16.
Identify the solution for the inequality
(
2
x
−
2
)
>
0
,
x
∈
N
(i)
IV
(ii)
III
(iii)
II
(iv)
I
Question
17
17.
The simplified form of the inequality
(
−
2
x
+
3
)
<
(
−
3
)
,
x
∈
Z
is
(i)
x
>
7
2
,
x
∈
Z
(ii)
x
<
7
2
,
x
∈
Z
(iii)
x
≤
5
2
,
x
∈
Z
(iv)
x
>
3
,
x
∈
Z
(v)
x
≥
5
2
,
x
∈
Z
Question
18
18.
The solution set of the inequality
(
9
x
+
6
)
<
(
−
1
)
,
x
∈
Z
is
(i)
{9,10,11,12,13,...}
(ii)
{0,1,2,3,4,...}
(iii)
{-1,-2,-3,-4,-5,...}
Question
19
19.
Which of the following inequations is the same as
(
4
x
−
7
)
<
(
3
x
−
7
)
,
x
∈
Z
(i)
(
12
x
−
21
)
>
(
3
x
−
7
)
,
x
∈
Z
(ii)
(
12
x
−
21
)
<
(
3
x
−
7
)
,
x
∈
Z
(iii)
(
12
x
−
21
)
<
(
9
x
−
21
)
,
x
∈
Z
(iv)
(
4
x
−
7
)
<
(
9
x
−
21
)
,
x
∈
Z
(v)
(
4
x
−
7
)
>
(
9
x
−
21
)
,
x
∈
Z
Question
20
20.
Which of the following statements are true?
a)
Multiplying same negative number on both sides does not change the inequality
b)
Dividing same negative number on both sides does not change the inequality
c)
Dividing same positive number on both sides does not change the inequality
d)
Multiplying same positive number on both sides does not change the inequality
e)
Subtracting same number on both sides does not change the inequality
f)
Adding same number on both sides does not change the inequality
(i)
{a,c}
(ii)
{c,d,e,f}
(iii)
{b,d}
(iv)
{a,f,c}
(v)
{a,b,e}
Question
21
21.
The solution set of the inequality
(
7
x
−
2
)
≥
(
−
4
)
,
x
∈
Z
is
(i)
{-1,-2,-3,-4,-5,...}
(ii)
{1,2,3,4,5,...}
(iii)
{0,1,2,3,4,...}
Question
22
22.
Which of the following figures represents the solution set
{-9,-10,-11,-12,-13,-14,...}
(i)
IV
(ii)
II
(iii)
III
(iv)
I
Question
23
23.
Find the solution set of
9
<
(
7
x
+
1
)
<
22
,
x
∈
Z
(i)
{2}
(ii)
{4}
(iii)
{3}
(iv)
{0}
(v)
{1}
Question
24
24.
Which of the following inequations is not the same as
(
8
x
+
5
)
≤
(
−
2
x
+
2
)
,
x
∈
Z
(i)
(
16
x
+
6
)
≤
(
−
11
x
+
3
)
,
x
∈
Z
(ii)
(
−
x
+
6
)
≤
(
−
11
x
+
3
)
,
x
∈
Z
(iii)
(
16
x
−
1
)
≤
(
6
x
−
4
)
,
x
∈
Z
(iv)
(
16
x
+
6
)
≤
(
6
x
+
3
)
,
x
∈
Z
(v)
(
4
x
+
1
)
≤
(
−
6
x
−
2
)
,
x
∈
Z
Question
25
25.
Find the solution set of
1
≤
(
5
x
−
4
)
<
16
,
x
∈
Z
(i)
{1,2,3}
(ii)
{2,3,4}
(iii)
{3,4,5}
(iv)
{-1,0,1}
(v)
{0,1,2}
Assignment Key
1) (iv)
2) (ii)
3) (i)
4) (iii)
5) (iii)
6) (ii)
7) (i)
8) (i)
9) (iii)
10) (v)
11) (iv)
12) (iii)
13) (iii)
14) (iii)
15) (ii)
16) (ii)
17) (iv)
18) (iii)
19) (iii)
20) (ii)
21) (iii)
22) (iv)
23) (i)
24) (i)
25) (i)
