EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Inequations
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
The simplified form of the inequality
(
8
x
−
6
)
>
4
,
x
∈
Z
is
(i)
x
≥
11
8
,
x
∈
Z
(ii)
x
>
5
4
,
x
∈
Z
(iii)
x
<
9
8
,
x
∈
Z
(iv)
x
>
9
8
,
x
∈
Z
(v)
x
≤
11
8
,
x
∈
Z
Question
2
2.
Find the solution set of
13
≥
(
4
x
+
5
)
>
(
−
11
)
,
x
∈
Z
(i)
{3,2,1,0,-1,-2}
(ii)
{4,3,2,1,0,-1}
(iii)
{2,1,0,-1,-2,-3}
(iv)
{0,-1,-2,-3,-4,-5}
(v)
{1,0,-1,-2,-3,-4}
Question
3
3.
Which of the following inequations is the same as
(
−
x
−
1
)
<
(
−
9
x
+
3
)
,
x
∈
Z
(i)
(
−
9
x
−
1
)
>
(
−
9
x
+
3
)
,
x
∈
Z
(ii)
(
−
9
x
−
1
)
<
(
−
17
x
+
3
)
,
x
∈
Z
(iii)
(
−
9
x
−
1
)
<
(
−
9
x
+
3
)
,
x
∈
Z
(iv)
(
−
x
−
1
)
>
(
−
17
x
+
3
)
,
x
∈
Z
(v)
(
−
x
−
1
)
<
(
−
17
x
+
3
)
,
x
∈
Z
Question
4
4.
Which of the following inequations is the same as
(
9
x
+
7
)
>
(
x
+
2
)
,
x
∈
Z
(i)
(
45
x
+
35
)
>
(
5
x
+
10
)
,
x
∈
Z
(ii)
(
45
x
+
35
)
>
(
x
+
2
)
,
x
∈
Z
(iii)
(
45
x
+
35
)
<
(
x
+
2
)
,
x
∈
Z
(iv)
(
9
x
+
7
)
>
(
5
x
+
10
)
,
x
∈
Z
(v)
(
9
x
+
7
)
<
(
5
x
+
10
)
,
x
∈
Z
Question
5
5.
Which of the following is an inequation?
(i)
(
9
x
+
1
)
(ii)
(
2
x
+
8
)
=
0
(iii)
1
(iv)
(
−
2
x
)
≥
0
,
x
∈
Z
Question
6
6.
The solution set of the inequality
(
−
8
x
+
7
)
≥
(
8
x
+
7
)
,
x
∈
Z
is
(i)
{1,2,3,4,5,...}
(ii)
{-2,-3,-4,-5,-6,...}
(iii)
{-1,-2,-3,-4,-5,...}
(iv)
{0,-1,-2,-3,-4,...}
Question
7
7.
Find the solution set of
2
≤
(
3
x
−
2
)
<
19
,
x
∈
Z
(i)
{4,5,6,7,8}
(ii)
{0,1,2,3,4}
(iii)
{3,4,5,6,7}
(iv)
{2,3,4,5,6}
(v)
{1,2,3,4,5}
Question
8
8.
The simplified form of the inequality
(
−
3
x
+
6
)
≤
7
,
x
∈
Z
is
(i)
x
≥
(
−
1
3
)
,
x
∈
Z
(ii)
x
≤
(
−
2
3
)
,
x
∈
Z
(iii)
x
>
0
,
x
∈
Z
(iv)
x
<
0
,
x
∈
Z
(v)
x
≥
(
−
2
3
)
,
x
∈
Z
Question
9
9.
Find the solution set of
6
≤
(
8
x
+
4
)
≤
18
,
x
∈
Z
(i)
{0}
(ii)
{1}
(iii)
{3}
(iv)
{2}
(v)
{-1}
Question
10
10.
The simplified form of the inequality
(
−
6
x
−
8
)
>
(
6
x
+
7
)
,
x
∈
Z
is
(i)
x
<
(
−
5
4
)
,
x
∈
Z
(ii)
x
<
(
−
7
6
)
,
x
∈
Z
(iii)
x
≥
(
−
4
3
)
,
x
∈
Z
(iv)
x
>
(
−
7
6
)
,
x
∈
Z
(v)
x
≤
(
−
4
3
)
,
x
∈
Z
Question
11
11.
The simplified form of the inequality
(
3
x
−
7
)
≥
(
−
6
)
,
x
∈
Z
is
(i)
x
>
0
,
x
∈
Z
(ii)
x
≥
1
3
,
x
∈
Z
(iii)
x
<
0
,
x
∈
Z
(iv)
x
≥
2
3
,
x
∈
Z
(v)
x
≤
2
3
,
x
∈
Z
Question
12
12.
Which of the following inequations is the same as
(
2
x
−
1
)
>
(
−
x
+
3
)
,
x
∈
Z
(i)
(
2
x
−
1
)
>
(
−
5
x
−
3
)
,
x
∈
Z
(ii)
(
−
2
x
−
7
)
>
(
−
x
+
3
)
,
x
∈
Z
(iii)
(
2
x
−
1
)
<
(
−
5
x
−
3
)
,
x
∈
Z
(iv)
(
−
2
x
−
7
)
<
(
−
x
+
3
)
,
x
∈
Z
(v)
(
−
2
x
−
7
)
>
(
−
5
x
−
3
)
,
x
∈
Z
Question
13
13.
Which of the following inequations is not the same as
(
−
4
x
+
8
)
≥
(
−
5
x
+
4
)
,
x
∈
Z
(i)
(
−
9
x
+
8
)
≥
(
−
10
x
+
4
)
,
x
∈
Z
(ii)
(
−
10
x
+
14
)
≥
(
−
11
x
+
10
)
,
x
∈
Z
(iii)
(
−
5
x
+
14
)
≥
(
−
6
x
+
10
)
,
x
∈
Z
(iv)
(
−
7
x
+
16
)
≥
(
−
8
x
+
12
)
,
x
∈
Z
(v)
(
−
7
x
+
16
)
≥
(
−
11
x
+
10
)
,
x
∈
Z
Question
14
14.
Identify the solution for the inequality
(
−
9
x
+
81
)
≤
0
,
x
∈
Z
(i)
IV
(ii)
II
(iii)
I
(iv)
III
Question
15
15.
Which of the following inequations is the same as
(
−
2
x
+
8
)
<
(
5
x
+
7
)
,
x
∈
Z
(i)
(
−
2
x
+
8
)
<
(
−
4
x
+
6
)
,
x
∈
Z
(ii)
(
−
11
x
+
7
)
>
(
5
x
+
7
)
,
x
∈
Z
(iii)
(
−
11
x
+
7
)
<
(
5
x
+
7
)
,
x
∈
Z
(iv)
(
−
2
x
+
8
)
>
(
−
4
x
+
6
)
,
x
∈
Z
(v)
(
−
11
x
+
7
)
<
(
−
4
x
+
6
)
,
x
∈
Z
Question
16
16.
Which of the following inequations is not the same as
(
4
x
−
6
)
≤
(
−
2
x
−
1
)
,
x
∈
Z
(i)
(
7
x
−
12
)
≤
(
x
−
7
)
,
x
∈
Z
(ii)
(
x
+
2
)
≤
(
x
−
7
)
,
x
∈
Z
(iii)
(
11
x
−
11
)
≤
(
5
x
−
6
)
,
x
∈
Z
(iv)
(
x
+
2
)
≤
(
−
5
x
+
7
)
,
x
∈
Z
(v)
(
−
5
x
−
3
)
≤
(
−
11
x
+
2
)
,
x
∈
Z
Question
17
17.
Which of the following inequations is not the same as
(
−
x
−
1
)
<
(
−
3
x
−
1
)
,
x
∈
Z
(i)
(
8
x
+
4
)
<
(
4
x
+
3
)
,
x
∈
Z
(ii)
(
6
x
+
3
)
<
(
4
x
+
3
)
,
x
∈
Z
(iii)
(
4
x
−
7
)
<
(
2
x
−
7
)
,
x
∈
Z
(iv)
(
8
x
+
4
)
<
(
6
x
+
4
)
,
x
∈
Z
(v)
(
−
9
x
−
1
)
<
(
−
11
x
−
1
)
,
x
∈
Z
Question
18
18.
Which of the following inequations is the same as
(
9
x
+
4
)
≥
(
−
5
x
+
1
)
,
x
∈
Z
(i)
(
9
x
+
4
)
<
(
−
3
x
+
10
)
,
x
∈
Z
(ii)
(
9
x
+
4
)
>
(
−
3
x
+
10
)
,
x
∈
Z
(iii)
(
11
x
+
13
)
≥
(
−
3
x
+
10
)
,
x
∈
Z
(iv)
(
11
x
+
13
)
<
(
−
5
x
+
1
)
,
x
∈
Z
(v)
(
11
x
+
13
)
>
(
−
5
x
+
1
)
,
x
∈
Z
Question
19
19.
Which of the following inequations is the same as
8
x
≤
(
5
x
+
1
)
,
x
∈
Z
(i)
(
9
x
+
2
)
<
(
5
x
+
1
)
,
x
∈
Z
(ii)
(
9
x
+
2
)
>
(
5
x
+
1
)
,
x
∈
Z
(iii)
(
9
x
+
2
)
≤
(
6
x
+
3
)
,
x
∈
Z
(iv)
8
x
<
(
6
x
+
3
)
,
x
∈
Z
(v)
8
x
>
(
6
x
+
3
)
,
x
∈
Z
Question
20
20.
Which of the following inequations is the same as
(
4
x
−
2
)
≥
(
−
2
x
+
8
)
,
x
∈
Z
(i)
(
28
x
−
14
)
≥
(
−
14
x
+
56
)
,
x
∈
Z
(ii)
(
28
x
−
14
)
<
(
−
2
x
+
8
)
,
x
∈
Z
(iii)
(
4
x
−
2
)
>
(
−
14
x
+
56
)
,
x
∈
Z
(iv)
(
4
x
−
2
)
<
(
−
14
x
+
56
)
,
x
∈
Z
(v)
(
28
x
−
14
)
>
(
−
2
x
+
8
)
,
x
∈
Z
Question
21
21.
Find the solution set of
(
−
5
)
<
(
2
x
+
6
)
<
3
,
x
∈
Z
(i)
{-7,-6,-5,-4}
(ii)
{-5,-4,-3,-2}
(iii)
{-6,-5,-4,-3}
(iv)
{-4,-3,-2,-1}
(v)
{-3,-2,-1,0}
Question
22
22.
Which of the following inequations is not the same as
(
−
6
x
−
6
)
≤
(
2
x
+
2
)
,
x
∈
Z
(i)
(
6
x
+
6
)
≤
(
−
12
x
−
12
)
,
x
∈
Z
(ii)
(
−
48
x
−
48
)
≤
(
16
x
+
16
)
,
x
∈
Z
(iii)
(
6
x
+
6
)
≥
(
−
2
x
−
2
)
,
x
∈
Z
(iv)
(
18
x
+
18
)
≥
(
−
6
x
−
6
)
,
x
∈
Z
(v)
(
36
x
+
36
)
≥
(
−
12
x
−
12
)
,
x
∈
Z
Question
23
23.
Which of the following inequations is the same as
(
6
x
+
7
)
>
(
x
−
3
)
,
x
∈
Z
(i)
(
−
2
x
−
1
)
>
(
x
−
3
)
,
x
∈
Z
(ii)
(
6
x
+
7
)
<
(
−
7
x
−
11
)
,
x
∈
Z
(iii)
(
−
2
x
−
1
)
>
(
−
7
x
−
11
)
,
x
∈
Z
(iv)
(
6
x
+
7
)
>
(
−
7
x
−
11
)
,
x
∈
Z
(v)
(
−
2
x
−
1
)
<
(
x
−
3
)
,
x
∈
Z
Question
24
24.
The solution set of the inequality
(
x
+
8
)
>
6
,
x
∈
Z
is
(i)
{-1,-2,-3,-4,-5,...}
(ii)
{-3,-4,-5,-6,-7,...}
(iii)
{-2,-1,0,1,2,...}
(iv)
{0,-1,-2,-3,-4,...}
(v)
{-1,0,1,2,3,...}
Question
25
25.
Which of the following inequations is not the same as
(
6
x
−
2
)
>
(
4
x
+
7
)
,
x
∈
Z
(i)
(
30
x
−
10
)
>
(
20
x
+
35
)
,
x
∈
Z
(ii)
(
−
12
x
+
4
)
>
(
−
28
x
−
49
)
,
x
∈
Z
(iii)
(
−
42
x
+
14
)
<
(
−
28
x
−
49
)
,
x
∈
Z
(iv)
(
54
x
−
18
)
>
(
36
x
+
63
)
,
x
∈
Z
(v)
(
−
12
x
+
4
)
<
(
−
8
x
−
14
)
,
x
∈
Z
Assignment Key
1) (ii)
2) (iii)
3) (ii)
4) (i)
5) (iv)
6) (iv)
7) (iv)
8) (i)
9) (ii)
10) (i)
11) (ii)
12) (v)
13) (v)
14) (ii)
15) (v)
16) (ii)
17) (i)
18) (iii)
19) (iii)
20) (i)
21) (ii)
22) (i)
23) (iii)
24) (v)
25) (ii)
