EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Inequations
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following is not an inequation?
(i)
(
−
3
x
+
5
)
≥
(
−
2
x
−
3
)
,
x
∈
Z
(ii)
(
8
x
−
8
)
=
(
4
x
+
1
)
(iii)
(
−
5
x
−
4
)
<
(
−
9
x
+
9
)
,
x
∈
Z
(iv)
(
x
+
8
)
≤
(
−
2
x
−
6
)
,
x
∈
Z
(v)
(
−
4
x
+
7
)
>
(
−
8
x
+
5
)
,
x
∈
Z
Question
2
2.
Which of the following inequations is not the same as
(
9
x
+
8
)
>
(
−
9
x
+
3
)
,
x
∈
Z
(i)
(
18
x
+
17
)
>
12
,
x
∈
Z
(ii)
(
17
x
+
10
)
>
(
−
18
x
−
6
)
,
x
∈
Z
(iii)
(
−
1
)
>
(
−
18
x
−
6
)
,
x
∈
Z
(iv)
(
17
x
+
10
)
>
(
−
x
+
5
)
,
x
∈
Z
(v)
(
10
x
+
10
)
>
(
−
8
x
+
5
)
,
x
∈
Z
Question
3
3.
Find the solution set for the given inequation
(
−
4
x
+
28
)
≤
0
,
where the replacement set is
{4,5,6,7,8,9,10}
(i)
{6,5,4,3,2}
(ii)
{7,8,9,10,11}
(iii)
{7,8,9,10}
(iv)
{8,9,10,11,12}
(v)
{7,6,5,4,3}
Question
4
4.
The solution set of the inequality
(
9
x
−
3
)
>
(
−
8
x
−
4
)
,
x
∈
Z
is
(i)
{-1,-2,-3,-4,-5,...}
(ii)
{3,2,1,0,-1,...}
(iii)
{0,1,2,3,4,...}
(iv)
{0,-1,-2,-3,-4,...}
Question
5
5.
The simplified form of the inequality
(
x
−
8
)
≥
4
,
x
∈
Z
is
(i)
x
≥
12
,
x
∈
Z
(ii)
x
≥
13
,
x
∈
Z
(iii)
x
<
11
,
x
∈
Z
(iv)
x
>
11
,
x
∈
Z
(v)
x
≤
13
,
x
∈
Z
Question
6
6.
Which of the following is an inequation?
(i)
9
(ii)
(
6
x
+
4
)
=
0
(iii)
8
x
≤
0
,
x
∈
Z
(iv)
(
9
x
+
3
)
Question
7
7.
Find the solution set for the given inequation
(
7
x
−
21
)
>
0
,
where the replacement set is
{1,2,3,4,5,6,7}
(i)
{3,2,1,0,-1}
(ii)
{4,5,6,7}
(iii)
{4,5,6,7,8}
(iv)
{2,1,0,-1,-2}
(v)
{3,4,5,6,7}
Question
8
8.
Which of the following figures represents the solution set
{5,6,7,8,9,10,...}
(i)
III
(ii)
II
(iii)
I
(iv)
IV
Question
9
9.
Which of the following is not an inequation?
(i)
(
−
2
x
−
4
)
<
(
−
9
)
,
x
∈
Z
(ii)
(
−
4
x
+
3
)
≤
(
−
1
)
,
x
∈
Z
(iii)
(
8
x
+
3
)
≥
6
,
x
∈
Z
(iv)
(
−
6
x
+
6
)
>
0
,
x
∈
Z
(v)
(
−
3
x
+
1
)
=
4
Question
10
10.
The simplified form of the inequality
(
5
x
−
7
)
<
(
−
4
)
,
x
∈
Z
is
(i)
x
<
2
5
,
x
∈
Z
(ii)
x
<
3
5
,
x
∈
Z
(iii)
x
>
2
5
,
x
∈
Z
(iv)
x
≥
4
5
,
x
∈
Z
(v)
x
≤
4
5
,
x
∈
Z
Question
11
11.
Solve the inequation
(
7
x
−
7
)
>
0
,
x
∈
Z
(i)
{1,2,3,4,5,...}
(ii)
{2,3,4,5,6,...}
(iii)
{0,-1,-2,-3,-4,...}
(iv)
{1,0,-1,-2,-3,...}
Question
12
12.
Find the solution set for the given inequation
(
8
x
−
56
)
≥
0
,
where the replacement set is
{4,5,6,7,8,9,10}
(i)
{7,6,5,4,3}
(ii)
{8,9,10,11,12}
(iii)
{7,8,9,10,11}
(iv)
{7,8,9,10}
(v)
{6,5,4,3,2}
Question
13
13.
The simplified form of the inequality
(
2
x
−
6
)
>
(
−
3
x
+
6
)
,
x
∈
Z
is
(i)
x
≥
13
5
,
x
∈
Z
(ii)
x
≤
13
5
,
x
∈
Z
(iii)
x
>
11
5
,
x
∈
Z
(iv)
x
>
12
5
,
x
∈
Z
(v)
x
<
11
5
,
x
∈
Z
Question
14
14.
Find the solution set of
(
−
6
)
≥
(
−
3
x
+
4
)
>
(
−
23
)
,
x
∈
Z
(i)
{6,7,8,9,10}
(ii)
{2,3,4,5,6}
(iii)
{5,6,7,8,9}
(iv)
{4,5,6,7,8}
(v)
{3,4,5,6,7}
Question
15
15.
Which of the following inequations is not the same as
(
−
8
x
−
9
)
<
(
5
x
+
4
)
,
x
∈
Z
(i)
(
−
11
x
)
<
(
2
x
+
13
)
,
x
∈
Z
(ii)
(
−
6
x
−
7
)
<
(
7
x
+
6
)
,
x
∈
Z
(iii)
(
−
4
x
)
<
(
9
x
+
13
)
,
x
∈
Z
(iv)
(
−
4
x
)
<
(
7
x
+
6
)
,
x
∈
Z
(v)
(
−
15
x
−
14
)
<
(
−
2
x
−
1
)
,
x
∈
Z
Question
16
16.
Find the solution set of
11
≤
(
2
x
+
7
)
<
19
,
x
∈
Z
(i)
{4,5,6,7}
(ii)
{0,1,2,3}
(iii)
{2,3,4,5}
(iv)
{3,4,5,6}
(v)
{1,2,3,4}
Question
17
17.
Solve the inequation
(
−
7
x
−
35
)
≤
0
,
x
∈
Z
(i)
{-6,-7,-8,-9,-10,...}
(ii)
{-4,-3,-2,-1,0,...}
(iii)
{-5,-6,-7,-8,-9,...}
(iv)
{-5,-4,-3,-2,-1,...}
Question
18
18.
Which of the following inequations is the same as
(
−
4
x
+
7
)
>
(
4
x
+
3
)
,
x
∈
Z
(i)
(
−
4
x
+
7
)
>
(
8
x
−
5
)
,
x
∈
Z
(ii)
(
−
4
x
+
7
)
<
(
8
x
−
5
)
,
x
∈
Z
(iii)
(
−
1
)
>
(
4
x
+
3
)
,
x
∈
Z
(iv)
(
−
1
)
>
(
8
x
−
5
)
,
x
∈
Z
(v)
(
−
1
)
<
(
4
x
+
3
)
,
x
∈
Z
Question
19
19.
Which of the following figures represents the solution set
{-2,-1,0,1,2,3,...}
(i)
IV
(ii)
II
(iii)
III
(iv)
I
Question
20
20.
Which of the following inequations is not the same as
(
−
4
x
−
4
)
≤
(
−
6
x
+
9
)
,
x
∈
Z
(i)
(
4
x
−
1
)
≤
(
2
x
+
12
)
,
x
∈
Z
(ii)
(
−
11
)
≤
(
−
7
x
+
7
)
,
x
∈
Z
(iii)
(
3
x
+
3
)
≤
(
x
+
16
)
,
x
∈
Z
(iv)
(
−
5
x
−
6
)
≤
(
−
7
x
+
7
)
,
x
∈
Z
(v)
(
−
11
)
≤
(
−
2
x
+
2
)
,
x
∈
Z
Question
21
21.
Which of the following figures represents the solution set
{-2,-1,0,1,2,3,...}
(i)
IV
(ii)
I
(iii)
II
(iv)
III
Question
22
22.
Find the solution set of
(
−
6
)
>
(
−
9
x
−
4
)
≥
(
−
17
)
,
x
∈
Z
(i)
{1}
(ii)
{-1}
(iii)
{3}
(iv)
{2}
(v)
{0}
Question
23
23.
The simplified form of the inequality
(
−
2
x
+
8
)
≤
8
,
x
∈
Z
is
(i)
x
<
1
2
,
x
∈
Z
(ii)
x
>
1
2
,
x
∈
Z
(iii)
x
≥
0
,
x
∈
Z
(iv)
x
≤
(
−
1
2
)
,
x
∈
Z
(v)
x
≥
(
−
1
2
)
,
x
∈
Z
Question
24
24.
Find the solution set of
11
<
(
4
x
+
8
)
≤
27
,
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
25
25.
Which of the following inequations is the same as
(
7
x
+
2
)
<
(
−
6
x
−
7
)
,
x
∈
Z
(i)
(
7
x
+
2
)
<
(
−
5
x
−
13
)
,
x
∈
Z
(ii)
(
7
x
+
2
)
>
(
−
5
x
−
13
)
,
x
∈
Z
(iii)
(
8
x
−
4
)
<
(
−
6
x
−
7
)
,
x
∈
Z
(iv)
(
8
x
−
4
)
<
(
−
5
x
−
13
)
,
x
∈
Z
(v)
(
8
x
−
4
)
>
(
−
6
x
−
7
)
,
x
∈
Z
Assignment Key
1) (ii)
2) (ii)
3) (iii)
4) (iii)
5) (i)
6) (iii)
7) (ii)
8) (iv)
9) (v)
10) (ii)
11) (ii)
12) (iv)
13) (iv)
14) (iv)
15) (iv)
16) (iii)
17) (iv)
18) (iv)
19) (iii)
20) (ii)
21) (ii)
22) (i)
23) (iii)
24) (ii)
25) (iv)
