EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Inequations
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following figures represents the solution set
{-5,-6,-7,-8,-9,-10,...}
(i)
III
(ii)
II
(iii)
IV
(iv)
I
Question
2
2.
Find the solution set of
(
−
4
)
<
(
−
8
x
)
<
24
,
x
∈
Z
(i)
{2,1,0}
(ii)
{-1,-2,-3}
(iii)
{0,-1,-2}
(iv)
{1,0,-1}
(v)
{-2,-3,-4}
Question
3
3.
Which of the following is not an inequation?
(i)
(
3
x
+
5
)
≥
(
−
x
+
9
)
,
x
∈
Z
(ii)
(
2
x
+
8
)
≤
(
−
3
x
−
4
)
,
x
∈
Z
(iii)
(
−
2
x
−
8
)
=
(
5
x
+
5
)
(iv)
(
−
6
x
−
1
)
<
(
3
x
+
8
)
,
x
∈
Z
(v)
(
−
7
x
−
9
)
>
(
−
4
x
+
9
)
,
x
∈
Z
Question
4
4.
Find the solution set for the given inequation
(
−
2
x
−
10
)
>
0
,
where the replacement set is
{-3,-4,-5,-6,-7,-8,-9}
(i)
{-6,-7,-8,-9,-10}
(ii)
{-5,-4,-3,-2,-1}
(iii)
{-5,-6,-7,-8,-9}
(iv)
{-4,-3,-2,-1,0}
(v)
{-6,-7,-8,-9}
Question
5
5.
Which of the following inequations is the same as
(
7
x
−
7
)
≤
(
−
x
−
4
)
,
x
∈
Z
(i)
(
42
x
−
42
)
≤
(
−
6
x
−
24
)
,
x
∈
Z
(ii)
(
7
x
−
7
)
<
(
−
6
x
−
24
)
,
x
∈
Z
(iii)
(
42
x
−
42
)
>
(
−
x
−
4
)
,
x
∈
Z
(iv)
(
42
x
−
42
)
<
(
−
x
−
4
)
,
x
∈
Z
(v)
(
7
x
−
7
)
>
(
−
6
x
−
24
)
,
x
∈
Z
Question
6
6.
Find the solution set for the given inequation
(
3
x
+
3
)
≤
0
,
where the replacement set is
{2,1,0,-1,-2,-3,-4}
(i)
{-2,-3,-4,-5,-6}
(ii)
{0,1,2,3,4}
(iii)
{-1,-2,-3,-4,-5}
(iv)
{-1,-2,-3,-4}
(v)
{-1,0,1,2,3}
Question
7
7.
Which of the following inequations is not the same as
8
x
>
(
6
x
−
6
)
,
x
∈
Z
(i)
(
−
64
x
)
<
(
−
48
x
+
48
)
,
x
∈
Z
(ii)
16
x
>
(
12
x
−
12
)
,
x
∈
Z
(iii)
40
x
>
(
30
x
−
30
)
,
x
∈
Z
(iv)
(
−
32
x
)
<
(
−
24
x
+
24
)
,
x
∈
Z
(v)
40
x
>
(
−
48
x
+
48
)
,
x
∈
Z
Question
8
8.
The solution set of the inequality
(
−
9
x
+
5
)
<
6
,
x
∈
Z
is
(i)
{0,-1,-2,-3,-4,...}
(ii)
{-1,-2,-3,-4,-5,...}
(iii)
{0,1,2,3,4,...}
Question
9
9.
Which of the following inequations is the same as
(
−
4
x
−
6
)
≤
(
6
x
+
5
)
,
x
∈
Z
(i)
(
−
8
x
−
7
)
≤
(
2
x
+
4
)
,
x
∈
Z
(ii)
(
−
8
x
−
7
)
<
(
6
x
+
5
)
,
x
∈
Z
(iii)
(
−
4
x
−
6
)
>
(
2
x
+
4
)
,
x
∈
Z
(iv)
(
−
8
x
−
7
)
>
(
6
x
+
5
)
,
x
∈
Z
(v)
(
−
4
x
−
6
)
<
(
2
x
+
4
)
,
x
∈
Z
Question
10
10.
The simplified form of the inequality
(
−
4
x
+
2
)
>
(
−
9
)
,
x
∈
Z
is
(i)
x
≤
5
2
,
x
∈
Z
(ii)
x
<
3
,
x
∈
Z
(iii)
x
<
11
4
,
x
∈
Z
(iv)
x
>
3
,
x
∈
Z
(v)
x
≥
5
2
,
x
∈
Z
Question
11
11.
The simplified form of the inequality
(
8
x
+
6
)
≥
(
−
9
x
+
3
)
,
x
∈
Z
is
(i)
x
≤
(
−
2
17
)
,
x
∈
Z
(ii)
x
>
(
−
4
17
)
,
x
∈
Z
(iii)
x
≥
(
−
2
17
)
,
x
∈
Z
(iv)
x
≥
(
−
3
17
)
,
x
∈
Z
(v)
x
<
(
−
4
17
)
,
x
∈
Z
Question
12
12.
Identify the solution for the inequality
(
8
x
+
16
)
≥
0
,
x
∈
Z
(i)
I
(ii)
III
(iii)
IV
(iv)
II
Question
13
13.
Identify the solution for the inequality
(
5
x
+
30
)
<
0
,
x
∈
Z
(i)
I
(ii)
IV
(iii)
II
(iv)
III
Question
14
14.
Find the solution set of
(
−
1
)
≥
(
5
x
+
3
)
>
(
−
26
)
,
x
∈
Z
(i)
{-3,-4,-5,-6,-7}
(ii)
{-2,-3,-4,-5,-6}
(iii)
{1,0,-1,-2,-3}
(iv)
{-1,-2,-3,-4,-5}
(v)
{0,-1,-2,-3,-4}
Question
15
15.
Which of the following is not an inequation?
(i)
(
−
x
−
5
)
≥
4
,
x
∈
Z
(ii)
(
−
4
x
−
4
)
>
1
,
x
∈
Z
(iii)
8
x
=
(
−
3
)
(iv)
(
6
x
+
8
)
<
(
−
6
)
,
x
∈
Z
(v)
(
−
7
x
+
3
)
≤
(
−
1
)
,
x
∈
Z
Question
16
16.
The simplified form of the inequality
(
−
5
x
+
2
)
<
(
−
5
)
,
x
∈
Z
is
(i)
x
>
8
5
,
x
∈
Z
(ii)
x
<
8
5
,
x
∈
Z
(iii)
x
>
7
5
,
x
∈
Z
(iv)
x
≥
6
5
,
x
∈
Z
(v)
x
≤
6
5
,
x
∈
Z
Question
17
17.
Which of the following inequations is not the same as
(
4
x
−
4
)
≤
(
−
5
x
−
3
)
,
x
∈
Z
(i)
(
36
x
−
36
)
≤
(
−
45
x
−
27
)
,
x
∈
Z
(ii)
(
20
x
−
20
)
≤
(
−
25
x
−
15
)
,
x
∈
Z
(iii)
(
−
32
x
+
32
)
≥
(
40
x
+
24
)
,
x
∈
Z
(iv)
(
8
x
−
8
)
≤
(
−
25
x
−
15
)
,
x
∈
Z
(v)
(
8
x
−
8
)
≤
(
−
10
x
−
6
)
,
x
∈
Z
Question
18
18.
The solution set of the inequality
(
3
x
+
9
)
>
(
9
x
+
3
)
,
x
∈
Z
is
(i)
{0,-1,-2,-3,-4,...}
(ii)
{-1,-2,-3,-4,-5,...}
(iii)
{1,0,-1,-2,-3,...}
(iv)
{2,3,4,5,6,...}
Question
19
19.
Which of the following figures represents the solution set
{1,0,-1,-2,-3,-4,...}
(i)
III
(ii)
IV
(iii)
II
(iv)
I
Question
20
20.
Find the solution set of
(
−
11
)
>
(
−
4
x
+
2
)
≥
(
−
27
)
,
x
∈
Z
(i)
{2,3,4,5}
(ii)
{3,4,5,6}
(iii)
{4,5,6,7}
(iv)
{5,6,7,8}
(v)
{6,7,8,9}
Question
21
21.
Find the solution set of
2
<
(
2
x
+
1
)
≤
10
,
x
∈
Z
(i)
{2,3,4,5}
(ii)
{-1,0,1,2}
(iii)
{0,1,2,3}
(iv)
{3,4,5,6}
(v)
{1,2,3,4}
Question
22
22.
Which of the following inequations is the same as
(
6
x
+
3
)
>
(
5
x
−
2
)
,
x
∈
Z
(i)
(
36
x
+
18
)
<
(
5
x
−
2
)
,
x
∈
Z
(ii)
(
6
x
+
3
)
>
(
30
x
−
12
)
,
x
∈
Z
(iii)
(
36
x
+
18
)
>
(
5
x
−
2
)
,
x
∈
Z
(iv)
(
6
x
+
3
)
<
(
30
x
−
12
)
,
x
∈
Z
(v)
(
36
x
+
18
)
>
(
30
x
−
12
)
,
x
∈
Z
Question
23
23.
Which of the following inequations is the same as
2
x
<
(
−
2
x
+
5
)
,
x
∈
Z
(i)
(
−
7
x
)
>
(
−
2
x
+
5
)
,
x
∈
Z
(ii)
2
x
>
(
−
11
x
+
5
)
,
x
∈
Z
(iii)
2
x
<
(
−
11
x
+
5
)
,
x
∈
Z
(iv)
(
−
7
x
)
<
(
−
2
x
+
5
)
,
x
∈
Z
(v)
(
−
7
x
)
<
(
−
11
x
+
5
)
,
x
∈
Z
Question
24
24.
Which of the following inequations is not the same as
(
5
x
−
5
)
<
(
−
9
x
−
3
)
,
x
∈
Z
(i)
(
−
4
x
−
1
)
<
(
−
17
x
−
3
)
,
x
∈
Z
(ii)
(
4
x
−
5
)
<
(
−
10
x
−
3
)
,
x
∈
Z
(iii)
(
−
4
x
−
1
)
<
(
−
18
x
+
1
)
,
x
∈
Z
(iv)
(
−
3
x
−
5
)
<
(
−
17
x
−
3
)
,
x
∈
Z
(v)
(
−
3
x
+
1
)
<
(
−
17
x
+
3
)
,
x
∈
Z
Question
25
25.
Find the solution set for the given inequation
(
8
x
+
72
)
≥
0
,
where the replacement set is
{-12,-11,-10,-9,-8,-7,-6}
(i)
{-10,-11,-12,-13,-14}
(ii)
{-9,-8,-7,-6}
(iii)
{-9,-10,-11,-12,-13}
(iv)
{-8,-7,-6,-5,-4}
(v)
{-9,-8,-7,-6,-5}
Assignment Key
1) (iv)
2) (iii)
3) (iii)
4) (v)
5) (i)
6) (iv)
7) (v)
8) (iii)
9) (i)
10) (iii)
11) (iv)
12) (iv)
13) (i)
14) (iv)
15) (iii)
16) (iii)
17) (iv)
18) (i)
19) (iv)
20) (iii)
21) (v)
22) (v)
23) (v)
24) (i)
25) (ii)
