EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Inequations
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following inequations is not the same as
(
6
x
−
2
)
<
(
−
8
x
−
7
)
,
x
∈
Z
(i)
(
9
x
+
6
)
<
(
−
5
x
+
1
)
,
x
∈
Z
(ii)
(
10
x
−
9
)
<
(
−
4
x
−
14
)
,
x
∈
Z
(iii)
x
<
(
−
13
x
−
5
)
,
x
∈
Z
(iv)
(
15
x
−
5
)
<
(
x
−
10
)
,
x
∈
Z
(v)
x
<
(
−
4
x
−
14
)
,
x
∈
Z
Question
2
2.
Find the solution set of
5
>
(
−
3
x
−
8
)
>
(
−
12
)
,
x
∈
Z
(i)
{-5,-4,-3,-2,-1,0}
(ii)
{-3,-2,-1,0,1,2}
(iii)
{-6,-5,-4,-3,-2,-1}
(iv)
{-4,-3,-2,-1,0,1}
(v)
{-2,-1,0,1,2,3}
Question
3
3.
Which of the following inequations is not the same as
(
3
x
+
1
)
<
(
9
x
−
3
)
,
x
∈
Z
(i)
(
−
9
x
−
3
)
>
(
−
27
x
+
9
)
,
x
∈
Z
(ii)
(
18
x
+
6
)
<
(
−
63
x
+
21
)
,
x
∈
Z
(iii)
(
−
21
x
−
7
)
>
(
−
63
x
+
21
)
,
x
∈
Z
(iv)
(
18
x
+
6
)
<
(
54
x
−
18
)
,
x
∈
Z
(v)
(
−
3
x
−
1
)
>
(
−
9
x
+
3
)
,
x
∈
Z
Question
4
4.
Which of the following inequations is the same as
(
5
x
+
7
)
>
(
−
8
x
−
9
)
,
x
∈
Z
(i)
(
13
x
+
13
)
>
(
−
3
)
,
x
∈
Z
(ii)
(
5
x
+
7
)
<
(
−
3
)
,
x
∈
Z
(iii)
(
13
x
+
13
)
>
(
−
8
x
−
9
)
,
x
∈
Z
(iv)
(
13
x
+
13
)
<
(
−
8
x
−
9
)
,
x
∈
Z
(v)
(
5
x
+
7
)
>
(
−
3
)
,
x
∈
Z
Question
5
5.
The solution set of the inequality
(
−
4
x
−
8
)
≥
(
3
x
+
8
)
,
x
∈
Z
is
(i)
{-3,-4,-5,-6,-7,...}
(ii)
{-1,-2,-3,-4,-5,...}
(iii)
{-2,-1,0,1,2,...}
(iv)
{2,3,4,5,6,...}
Question
6
6.
Find the solution set of
(
−
10
)
<
(
−
5
x
−
7
)
<
15
,
x
∈
Z
(i)
{1,0,-1,-2,-3}
(ii)
{-1,-2,-3,-4,-5}
(iii)
{-2,-3,-4,-5,-6}
(iv)
{0,-1,-2,-3,-4}
(v)
{2,1,0,-1,-2}
Question
7
7.
The solution set of the inequality
(
−
4
x
−
9
)
≤
(
−
9
x
+
4
)
,
x
∈
Z
is
(i)
{-1,-2,-3,-4,-5,...}
(ii)
{2,1,0,-1,-2,...}
(iii)
{3,4,5,6,7,...}
(iv)
{-2,-3,-4,-5,-6,...}
Question
8
8.
The solution set of the inequality
(
2
x
−
8
)
<
(
−
8
x
+
5
)
,
x
∈
Z
is
(i)
{1,0,-1,-2,-3,...}
(ii)
{1,2,3,4,5,...}
(iii)
{-1,0,1,2,3,...}
(iv)
{2,3,4,5,6,...}
Question
9
9.
Which of the following inequations is the same as
(
−
5
x
+
7
)
<
7
x
,
x
∈
Z
(i)
(
−
5
x
+
7
)
<
63
x
,
x
∈
Z
(ii)
(
−
45
x
+
63
)
<
63
x
,
x
∈
Z
(iii)
(
−
45
x
+
63
)
<
7
x
,
x
∈
Z
(iv)
(
−
5
x
+
7
)
>
63
x
,
x
∈
Z
(v)
(
−
45
x
+
63
)
>
7
x
,
x
∈
Z
Question
10
10.
The simplified form of the inequality
(
9
x
+
9
)
≥
2
,
x
∈
Z
is
(i)
x
>
(
−
8
9
)
,
x
∈
Z
(ii)
x
≥
(
−
2
3
)
,
x
∈
Z
(iii)
x
≥
(
−
7
9
)
,
x
∈
Z
(iv)
x
≤
(
−
2
3
)
,
x
∈
Z
(v)
x
<
(
−
8
9
)
,
x
∈
Z
Question
11
11.
Find the solution set for the given inequation
(
7
x
+
63
)
<
0
,
where the replacement set is
{-7,-8,-9,-10,-11,-12,-13}
(i)
{-10,-11,-12,-13}
(ii)
{-10,-11,-12,-13,-14}
(iii)
{-8,-7,-6,-5,-4}
(iv)
{-9,-10,-11,-12,-13}
(v)
{-9,-8,-7,-6,-5}
Question
12
12.
Which of the following statements are true?
a)
Dividing same negative number on both sides does not change the inequality
b)
Dividing same positive number on both sides does not change the inequality
c)
Adding same 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)
Multiplying same negative number on both sides does not change the inequality
(i)
{b,c,d,e}
(ii)
{a,f,d}
(iii)
{f,c}
(iv)
{a,b}
(v)
{a,e,b}
Question
13
13.
Find the solution set of
(
−
6
)
<
(
−
3
x
+
6
)
≤
17
,
x
∈
Z
(i)
{5,4,3,2,1,0,-1}
(ii)
{4,3,2,1,0,-1,-2}
(iii)
{1,0,-1,-2,-3,-4,-5}
(iv)
{3,2,1,0,-1,-2,-3}
(v)
{2,1,0,-1,-2,-3,-4}
Question
14
14.
Which of the following inequations is not the same as
(
−
8
x
−
5
)
≥
(
6
x
−
3
)
,
x
∈
Z
(i)
(
−
17
x
−
13
)
≥
(
−
3
x
−
11
)
,
x
∈
Z
(ii)
(
−
17
x
−
3
)
≥
(
−
3
x
−
1
)
,
x
∈
Z
(iii)
(
−
17
x
+
1
)
≥
(
−
3
x
+
3
)
,
x
∈
Z
(iv)
(
−
3
x
−
6
)
≥
(
11
x
−
4
)
,
x
∈
Z
(v)
(
−
17
x
−
3
)
≥
(
11
x
−
4
)
,
x
∈
Z
Question
15
15.
Which of the following inequations is the same as
(
−
6
x
−
5
)
≥
(
2
x
−
8
)
,
x
∈
Z
(i)
(
−
13
x
−
3
)
<
(
2
x
−
8
)
,
x
∈
Z
(ii)
(
−
13
x
−
3
)
≥
(
−
5
x
−
6
)
,
x
∈
Z
(iii)
(
−
6
x
−
5
)
<
(
−
5
x
−
6
)
,
x
∈
Z
(iv)
(
−
6
x
−
5
)
>
(
−
5
x
−
6
)
,
x
∈
Z
(v)
(
−
13
x
−
3
)
>
(
2
x
−
8
)
,
x
∈
Z
Question
16
16.
Find the solution set of
(
−
11
)
≤
(
−
6
x
+
4
)
<
15
,
x
∈
Z
(i)
{3,2,1,0}
(ii)
{0,-1,-2,-3}
(iii)
{2,1,0,-1}
(iv)
{4,3,2,1}
(v)
{1,0,-1,-2}
Question
17
17.
The solution set of the inequality
(
x
−
9
)
≤
(
−
8
)
,
x
∈
Z
is
(i)
{0,-1,-2,-3,-4,...}
(ii)
{2,3,4,5,6,...}
(iii)
{1,2,3,4,5,...}
(iv)
{1,0,-1,-2,-3,...}
Question
18
18.
Which of the following figures represents the solution set
{-4,-3,-2,-1,0,1,...}
(i)
III
(ii)
II
(iii)
I
(iv)
IV
Question
19
19.
Which of the following inequations is not the same as
(
−
x
−
8
)
>
(
−
5
x
−
8
)
,
x
∈
Z
(i)
(
−
4
x
−
2
)
>
(
−
8
x
−
2
)
,
x
∈
Z
(ii)
(
2
x
−
15
)
>
(
−
2
x
−
15
)
,
x
∈
Z
(iii)
(
−
4
x
−
2
)
>
(
−
8
)
,
x
∈
Z
(iv)
(
−
7
x
−
5
)
>
(
−
11
x
−
5
)
,
x
∈
Z
(v)
(
4
x
−
8
)
>
(
−
8
)
,
x
∈
Z
Question
20
20.
Identify the solution for the inequality
(
3
x
−
27
)
>
0
,
x
∈
Z
(i)
I
(ii)
II
(iii)
IV
(iv)
III
Question
21
21.
Which of the following inequations is the same as
3
x
≥
(
−
7
x
)
,
x
∈
Z
(i)
3
x
>
(
−
42
x
)
,
x
∈
Z
(ii)
3
x
<
(
−
42
x
)
,
x
∈
Z
(iii)
18
x
<
(
−
7
x
)
,
x
∈
Z
(iv)
18
x
>
(
−
7
x
)
,
x
∈
Z
(v)
18
x
≥
(
−
42
x
)
,
x
∈
Z
Question
22
22.
Which of the following inequations is not the same as
(
4
x
+
7
)
≤
(
3
x
−
4
)
,
x
∈
Z
(i)
(
4
x
+
7
)
≤
(
3
x
−
4
)
,
x
∈
Z
(ii)
(
−
12
x
−
21
)
≥
(
−
9
x
+
12
)
,
x
∈
Z
(iii)
(
4
x
+
7
)
≤
(
15
x
−
20
)
,
x
∈
Z
(iv)
(
−
8
x
−
14
)
≥
(
−
6
x
+
8
)
,
x
∈
Z
(v)
(
20
x
+
35
)
≤
(
15
x
−
20
)
,
x
∈
Z
Question
23
23.
Which of the following figures represents the solution set
{1,2,3,4,5,6,...}
(i)
IV
(ii)
III
(iii)
I
(iv)
II
Question
24
24.
Which of the following inequations is not the same as
(
5
x
−
9
)
≥
(
x
+
4
)
,
x
∈
Z
(i)
(
−
4
x
−
13
)
≥
(
3
x
+
9
)
,
x
∈
Z
(ii)
(
−
3
x
−
1
)
≥
(
−
7
x
+
12
)
,
x
∈
Z
(iii)
(
−
4
x
−
13
)
≥
(
−
8
x
)
,
x
∈
Z
(iv)
(
7
x
−
4
)
≥
(
3
x
+
9
)
,
x
∈
Z
(v)
(
x
−
9
)
≥
(
−
3
x
+
4
)
,
x
∈
Z
Question
25
25.
Which of the following inequations is the same as
(
x
+
9
)
≥
(
−
8
x
−
5
)
,
x
∈
Z
(i)
(
−
x
+
1
)
≥
(
−
10
x
−
13
)
,
x
∈
Z
(ii)
(
−
x
+
1
)
>
(
−
8
x
−
5
)
,
x
∈
Z
(iii)
(
x
+
9
)
>
(
−
10
x
−
13
)
,
x
∈
Z
(iv)
(
x
+
9
)
<
(
−
10
x
−
13
)
,
x
∈
Z
(v)
(
−
x
+
1
)
<
(
−
8
x
−
5
)
,
x
∈
Z
Assignment Key
1) (v)
2) (iv)
3) (ii)
4) (i)
5) (i)
6) (iv)
7) (ii)
8) (i)
9) (ii)
10) (iii)
11) (i)
12) (i)
13) (iv)
14) (v)
15) (ii)
16) (iii)
17) (iv)
18) (i)
19) (iii)
20) (i)
21) (v)
22) (iii)
23) (iv)
24) (i)
25) (i)
