EduSahara™ Assignment
Name : Single Variable
Chapter : Linear Inequations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Solve the inequation
(
−
2
x
−
14
)
<
0
,
x
∈
Z
(i)
{-7,-6,-5,-4,-3,...}
(ii)
{-6,-5,-4,-3,-2,...}
(iii)
{-8,-9,-10,-11,-12,...}
(iv)
{-7,-8,-9,-10,-11,...}
Question
2
2.
Solve the inequation
(
2
x
−
12
)
>
0
,
x
∈
Z
(i)
{6,5,4,3,2,...}
(ii)
{6,7,8,9,10,...}
(iii)
{7,8,9,10,11,...}
(iv)
{5,4,3,2,1,...}
Question
3
3.
Solve the inequation
(
6
x
−
12
)
≤
0
,
x
∈
Z
(i)
{2,1,0,-1,-2,...}
(ii)
{3,4,5,6,7,...}
(iii)
{1,0,-1,-2,-3,...}
(iv)
{2,3,4,5,6,...}
Question
4
4.
Solve the inequation
(
4
x
−
28
)
≥
0
,
x
∈
Z
(i)
{7,8,9,10,11,...}
(ii)
{7,6,5,4,3,...}
(iii)
{6,5,4,3,2,...}
(iv)
{8,9,10,11,12,...}
Question
5
5.
Find the solution set for the given inequation
(
−
9
x
+
27
)
<
0
,
where the replacement set is
{1,2,3,4,5,6,7}
(i)
{3,2,1,0,-1}
(ii)
{2,1,0,-1,-2}
(iii)
{4,5,6,7}
(iv)
{3,4,5,6,7}
(v)
{4,5,6,7,8}
Question
6
6.
Find the solution set for the given inequation
(
4
x
+
36
)
>
0
,
where the replacement set is
{-11,-10,-9,-8,-7,-6,-5}
(i)
{-10,-11,-12,-13,-14}
(ii)
{-8,-7,-6,-5}
(iii)
{-8,-7,-6,-5,-4}
(iv)
{-9,-8,-7,-6,-5}
(v)
{-9,-10,-11,-12,-13}
Question
7
7.
Find the solution set for the given inequation
7
x
≤
0
,
where the replacement set is
{3,2,1,0,-1,-2,-3}
(i)
{0,-1,-2,-3}
(ii)
{0,-1,-2,-3,-4}
(iii)
{-1,-2,-3,-4,-5}
(iv)
{0,1,2,3,4}
(v)
{1,2,3,4,5}
Question
8
8.
Find the solution set for the given inequation
(
−
6
x
+
36
)
≥
0
,
where the replacement set is
{9,8,7,6,5,4,3}
(i)
{5,4,3,2,1}
(ii)
{6,5,4,3,2}
(iii)
{7,8,9,10,11}
(iv)
{6,5,4,3}
(v)
{6,7,8,9,10}
Question
9
9.
Identify the solution for the inequality
(
−
9
x
−
36
)
<
0
,
x
∈
Z
(i)
IV
(ii)
I
(iii)
II
(iv)
III
Question
10
10.
Identify the solution for the inequality
(
2
x
+
2
)
>
0
,
x
∈
Z
(i)
I
(ii)
IV
(iii)
II
(iv)
III
Question
11
11.
Identify the solution for the inequality
(
−
x
+
8
)
≤
0
,
x
∈
Z
(i)
III
(ii)
II
(iii)
IV
(iv)
I
Question
12
12.
Identify the solution for the inequality
(
−
x
+
8
)
≥
0
,
x
∈
Z
(i)
II
(ii)
III
(iii)
IV
(iv)
I
Question
13
13.
Which of the following is an inequation?
(i)
(
5
x
+
6
)
=
0
(ii)
(
−
3
x
−
1
)
≤
0
,
x
∈
Z
(iii)
(
8
x
+
4
)
(iv)
1
Question
14
14.
Which of the following is not an inequation?
(i)
(
6
x
+
1
)
>
(
−
4
)
,
x
∈
Z
(ii)
(
−
4
x
−
8
)
=
(
−
2
)
(iii)
(
8
x
−
6
)
<
(
−
1
)
,
x
∈
Z
(iv)
(
9
x
+
5
)
≥
9
,
x
∈
Z
(v)
(
−
6
x
+
2
)
≤
8
,
x
∈
Z
Question
15
15.
Which of the following is not an inequation?
(i)
(
−
8
x
−
6
)
=
(
−
4
x
−
3
)
(ii)
(
−
3
x
−
5
)
≤
6
x
,
x
∈
Z
(iii)
(
2
x
+
5
)
>
(
−
6
x
)
,
x
∈
Z
(iv)
(
6
x
+
2
)
≥
(
x
−
2
)
,
x
∈
Z
(v)
(
−
3
x
+
7
)
<
(
6
x
−
2
)
,
x
∈
Z
Question
16
16.
Which of the following inequations is the same as
(
−
3
x
−
6
)
<
(
5
x
−
1
)
,
x
∈
Z
(i)
(
−
10
x
−
6
)
<
(
5
x
−
1
)
,
x
∈
Z
(ii)
(
−
10
x
−
6
)
<
(
−
2
x
−
1
)
,
x
∈
Z
(iii)
(
−
10
x
−
6
)
>
(
5
x
−
1
)
,
x
∈
Z
(iv)
(
−
3
x
−
6
)
<
(
−
2
x
−
1
)
,
x
∈
Z
(v)
(
−
3
x
−
6
)
>
(
−
2
x
−
1
)
,
x
∈
Z
Question
17
17.
Which of the following inequations is the same as
(
−
x
−
9
)
<
(
4
x
−
2
)
,
x
∈
Z
(i)
(
−
4
x
−
7
)
<
(
4
x
−
2
)
,
x
∈
Z
(ii)
(
−
4
x
−
7
)
<
x
,
x
∈
Z
(iii)
(
−
4
x
−
7
)
>
(
4
x
−
2
)
,
x
∈
Z
(iv)
(
−
x
−
9
)
<
x
,
x
∈
Z
(v)
(
−
x
−
9
)
>
x
,
x
∈
Z
Question
18
18.
Which of the following inequations is the same as
(
−
9
x
+
7
)
≤
(
5
x
−
5
)
,
x
∈
Z
(i)
(
−
8
x
+
2
)
≤
(
6
x
−
10
)
,
x
∈
Z
(ii)
(
−
8
x
+
2
)
<
(
5
x
−
5
)
,
x
∈
Z
(iii)
(
−
9
x
+
7
)
>
(
6
x
−
10
)
,
x
∈
Z
(iv)
(
−
8
x
+
2
)
>
(
5
x
−
5
)
,
x
∈
Z
(v)
(
−
9
x
+
7
)
<
(
6
x
−
10
)
,
x
∈
Z
Question
19
19.
Which of the following inequations is the same as
(
−
x
−
2
)
≤
(
4
x
+
5
)
,
x
∈
Z
(i)
(
5
x
+
5
)
>
(
4
x
+
5
)
,
x
∈
Z
(ii)
(
5
x
+
5
)
<
(
4
x
+
5
)
,
x
∈
Z
(iii)
(
−
x
−
2
)
<
(
10
x
+
12
)
,
x
∈
Z
(iv)
(
−
x
−
2
)
>
(
10
x
+
12
)
,
x
∈
Z
(v)
(
5
x
+
5
)
≤
(
10
x
+
12
)
,
x
∈
Z
Question
20
20.
Which of the following inequations is the same as
(
−
4
x
+
1
)
>
(
−
x
−
7
)
,
x
∈
Z
(i)
(
−
4
x
+
1
)
<
(
4
x
−
9
)
,
x
∈
Z
(ii)
(
x
−
1
)
<
(
−
x
−
7
)
,
x
∈
Z
(iii)
(
x
−
1
)
>
(
−
x
−
7
)
,
x
∈
Z
(iv)
(
−
4
x
+
1
)
>
(
4
x
−
9
)
,
x
∈
Z
(v)
(
x
−
1
)
>
(
4
x
−
9
)
,
x
∈
Z
Question
21
21.
Which of the following inequations is the same as
(
−
x
−
6
)
>
(
−
4
x
+
5
)
,
x
∈
Z
(i)
(
−
5
x
−
9
)
>
(
−
4
x
+
5
)
,
x
∈
Z
(ii)
(
−
x
−
6
)
>
(
−
8
x
+
2
)
,
x
∈
Z
(iii)
(
−
5
x
−
9
)
<
(
−
4
x
+
5
)
,
x
∈
Z
(iv)
(
−
5
x
−
9
)
>
(
−
8
x
+
2
)
,
x
∈
Z
(v)
(
−
x
−
6
)
<
(
−
8
x
+
2
)
,
x
∈
Z
Question
22
22.
Which of the following inequations is the same as
(
−
2
x
−
7
)
≥
(
3
x
−
5
)
,
x
∈
Z
(i)
(
2
x
−
3
)
>
(
3
x
−
5
)
,
x
∈
Z
(ii)
(
−
2
x
−
7
)
>
(
7
x
−
1
)
,
x
∈
Z
(iii)
(
−
2
x
−
7
)
<
(
7
x
−
1
)
,
x
∈
Z
(iv)
(
2
x
−
3
)
≥
(
7
x
−
1
)
,
x
∈
Z
(v)
(
2
x
−
3
)
<
(
3
x
−
5
)
,
x
∈
Z
Question
23
23.
Which of the following inequations is the same as
(
−
9
x
+
7
)
≥
(
5
x
+
5
)
,
x
∈
Z
(i)
(
−
12
x
−
1
)
<
(
5
x
+
5
)
,
x
∈
Z
(ii)
(
−
12
x
−
1
)
>
(
5
x
+
5
)
,
x
∈
Z
(iii)
(
−
9
x
+
7
)
>
(
2
x
−
3
)
,
x
∈
Z
(iv)
(
−
12
x
−
1
)
≥
(
2
x
−
3
)
,
x
∈
Z
(v)
(
−
9
x
+
7
)
<
(
2
x
−
3
)
,
x
∈
Z
Question
24
24.
Which of the following inequations is the same as
(
8
x
−
4
)
<
(
−
9
x
−
5
)
,
x
∈
Z
(i)
(
32
x
−
16
)
>
(
−
9
x
−
5
)
,
x
∈
Z
(ii)
(
32
x
−
16
)
<
(
−
9
x
−
5
)
,
x
∈
Z
(iii)
(
8
x
−
4
)
>
(
−
36
x
−
20
)
,
x
∈
Z
(iv)
(
8
x
−
4
)
<
(
−
36
x
−
20
)
,
x
∈
Z
(v)
(
32
x
−
16
)
<
(
−
36
x
−
20
)
,
x
∈
Z
Question
25
25.
Which of the following inequations is the same as
(
6
x
−
1
)
≤
(
3
x
+
6
)
,
x
∈
Z
(i)
(
6
x
−
1
)
>
(
−
15
x
−
30
)
,
x
∈
Z
(ii)
(
6
x
−
1
)
<
(
−
15
x
−
30
)
,
x
∈
Z
(iii)
(
−
30
x
+
5
)
>
(
3
x
+
6
)
,
x
∈
Z
(iv)
(
−
30
x
+
5
)
≥
(
−
15
x
−
30
)
,
x
∈
Z
(v)
(
−
30
x
+
5
)
<
(
3
x
+
6
)
,
x
∈
Z
Question
26
26.
Which of the following inequations is the same as
(
−
2
x
+
1
)
>
(
−
6
x
+
2
)
,
x
∈
Z
(i)
(
−
2
x
+
1
)
<
(
−
24
x
+
8
)
,
x
∈
Z
(ii)
(
−
8
x
+
4
)
>
(
−
24
x
+
8
)
,
x
∈
Z
(iii)
(
−
8
x
+
4
)
>
(
−
6
x
+
2
)
,
x
∈
Z
(iv)
(
−
2
x
+
1
)
>
(
−
24
x
+
8
)
,
x
∈
Z
(v)
(
−
8
x
+
4
)
<
(
−
6
x
+
2
)
,
x
∈
Z
Question
27
27.
Which of the following inequations is the same as
(
3
x
−
9
)
≥
(
−
2
x
−
4
)
,
x
∈
Z
(i)
(
18
x
−
54
)
>
(
−
2
x
−
4
)
,
x
∈
Z
(ii)
(
18
x
−
54
)
<
(
−
2
x
−
4
)
,
x
∈
Z
(iii)
(
3
x
−
9
)
>
(
−
12
x
−
24
)
,
x
∈
Z
(iv)
(
18
x
−
54
)
≥
(
−
12
x
−
24
)
,
x
∈
Z
(v)
(
3
x
−
9
)
<
(
−
12
x
−
24
)
,
x
∈
Z
Question
28
28.
Which of the following inequations is not the same as
(
−
5
x
+
5
)
<
(
7
x
+
9
)
,
x
∈
Z
(i)
(
−
x
+
7
)
<
(
11
x
+
11
)
,
x
∈
Z
(ii)
(
−
x
−
2
)
<
(
11
x
+
2
)
,
x
∈
Z
(iii)
(
2
x
+
1
)
<
(
14
x
+
5
)
,
x
∈
Z
(iv)
9
<
(
12
x
+
13
)
,
x
∈
Z
(v)
9
<
(
11
x
+
11
)
,
x
∈
Z
Question
29
29.
Which of the following inequations is not the same as
(
−
6
x
+
8
)
<
(
7
x
−
2
)
,
x
∈
Z
(i)
(
−
9
x
+
8
)
<
(
4
x
−
2
)
,
x
∈
Z
(ii)
(
−
13
x
+
1
)
<
(
−
9
)
,
x
∈
Z
(iii)
(
3
x
+
16
)
<
(
16
x
+
6
)
,
x
∈
Z
(iv)
(
−
10
x
+
8
)
<
(
3
x
−
2
)
,
x
∈
Z
(v)
(
3
x
+
16
)
<
(
3
x
−
2
)
,
x
∈
Z
Question
30
30.
Which of the following inequations is not the same as
(
6
x
−
8
)
≤
(
−
2
x
+
8
)
,
x
∈
Z
(i)
(
x
−
12
)
≤
(
−
7
x
+
4
)
,
x
∈
Z
(ii)
(
3
x
−
17
)
≤
(
−
7
x
+
4
)
,
x
∈
Z
(iii)
(
3
x
−
17
)
≤
(
−
5
x
−
1
)
,
x
∈
Z
(iv)
14
x
≤
(
6
x
+
16
)
,
x
∈
Z
(v)
(
−
3
x
−
11
)
≤
(
−
11
x
+
5
)
,
x
∈
Z
Question
31
31.
Which of the following inequations is not the same as
(
6
x
+
8
)
≤
(
−
6
x
−
4
)
,
x
∈
Z
(i)
(
2
x
+
9
)
≤
(
−
10
x
−
3
)
,
x
∈
Z
(ii)
(
4
x
+
7
)
≤
(
−
8
x
−
5
)
,
x
∈
Z
(iii)
(
9
x
+
6
)
≤
(
−
3
x
−
6
)
,
x
∈
Z
(iv)
(
2
x
+
9
)
≤
(
−
3
x
−
6
)
,
x
∈
Z
(v)
(
4
x
+
6
)
≤
(
−
8
x
−
6
)
,
x
∈
Z
Question
32
32.
Which of the following inequations is not the same as
(
−
x
−
1
)
>
(
−
2
x
−
2
)
,
x
∈
Z
(i)
(
−
8
x
+
8
)
>
(
−
6
x
−
6
)
,
x
∈
Z
(ii)
(
8
x
−
4
)
>
(
7
x
−
5
)
,
x
∈
Z
(iii)
(
−
8
x
+
8
)
>
(
−
9
x
+
7
)
,
x
∈
Z
(iv)
(
−
7
x
−
5
)
>
(
−
8
x
−
6
)
,
x
∈
Z
(v)
(
−
5
x
−
5
)
>
(
−
6
x
−
6
)
,
x
∈
Z
Question
33
33.
Which of the following inequations is not the same as
(
7
x
+
4
)
>
(
−
4
x
−
9
)
,
x
∈
Z
(i)
(
8
x
+
12
)
>
(
−
3
x
−
1
)
,
x
∈
Z
(ii)
(
8
x
−
2
)
>
(
−
3
x
−
1
)
,
x
∈
Z
(iii)
(
8
x
−
2
)
>
(
−
3
x
−
15
)
,
x
∈
Z
(iv)
(
5
x
+
7
)
>
(
−
6
x
−
6
)
,
x
∈
Z
(v)
(
10
x
+
9
)
>
(
−
x
−
4
)
,
x
∈
Z
Question
34
34.
Which of the following inequations is not the same as
(
9
x
−
7
)
≥
(
−
9
x
−
8
)
,
x
∈
Z
(i)
16
x
≥
(
−
2
x
−
1
)
,
x
∈
Z
(ii)
(
14
x
+
2
)
≥
(
−
4
x
+
1
)
,
x
∈
Z
(iii)
(
17
x
−
2
)
≥
(
−
x
−
3
)
,
x
∈
Z
(iv)
(
18
x
−
3
)
≥
(
−
4
)
,
x
∈
Z
(v)
(
17
x
−
2
)
≥
(
−
4
x
+
1
)
,
x
∈
Z
Question
35
35.
Which of the following inequations is not the same as
(
−
9
x
+
1
)
≥
(
−
6
x
−
6
)
,
x
∈
Z
(i)
(
−
10
x
−
4
)
≥
(
−
7
x
−
11
)
,
x
∈
Z
(ii)
(
−
5
x
+
8
)
≥
(
−
2
x
+
1
)
,
x
∈
Z
(iii)
(
−
7
x
−
3
)
≥
(
−
4
x
−
10
)
,
x
∈
Z
(iv)
(
−
7
x
−
3
)
≥
(
−
14
x
−
8
)
,
x
∈
Z
(v)
(
−
17
x
−
1
)
≥
(
−
14
x
−
8
)
,
x
∈
Z
Question
36
36.
The solution set of the inequality
(
6
x
−
5
)
<
(
8
x
+
1
)
,
x
∈
Z
is
(i)
{-2,-1,0,1,2,...}
(ii)
{-4,-5,-6,-7,-8,...}
(iii)
{-3,-4,-5,-6,-7,...}
(iv)
{1,2,3,4,5,...}
(v)
{0,-1,-2,-3,-4,...}
Question
37
37.
The solution set of the inequality
(
−
5
x
+
5
)
>
(
8
x
−
3
)
,
x
∈
Z
is
(i)
{2,3,4,5,6,...}
(ii)
{0,-1,-2,-3,-4,...}
(iii)
{1,2,3,4,5,...}
Question
38
38.
The solution set of the inequality
(
−
3
x
+
7
)
≤
(
−
8
x
−
6
)
,
x
∈
Z
is
(i)
{-3,-4,-5,-6,-7,...}
(ii)
{-2,-1,0,1,2,...}
Question
39
39.
The solution set of the inequality
(
−
3
x
−
4
)
≥
(
4
x
−
2
)
,
x
∈
Z
is
(i)
{0,-1,-2,-3,-4,...}
(ii)
{0,1,2,3,4,...}
(iii)
{-2,-3,-4,-5,-6,...}
(iv)
{-1,-2,-3,-4,-5,...}
Question
40
40.
The solution set of the inequality
(
−
4
x
+
6
)
<
(
−
9
)
,
x
∈
Z
is
(i)
{4,5,6,7,8,...}
(ii)
{5,6,7,8,9,...}
(iii)
{3,2,1,0,-1,...}
(iv)
{0,-1,-2,-3,-4,...}
Question
41
41.
The solution set of the inequality
(
7
x
−
5
)
>
2
,
x
∈
Z
is
(i)
{0,-1,-2,-3,-4,...}
(ii)
{2,3,4,5,6,...}
(iii)
{-2,-3,-4,-5,-6,...}
(iv)
{1,2,3,4,5,...}
Question
42
42.
The solution set of the inequality
(
5
x
+
5
)
≤
(
−
6
)
,
x
∈
Z
is
(i)
{-2,-1,0,1,2,...}
(ii)
{-2,-3,-4,-5,-6,...}
(iii)
{-3,-4,-5,-6,-7,...}
(iv)
{-1,-2,-3,-4,-5,...}
Question
43
43.
The solution set of the inequality
(
8
x
+
9
)
≥
(
−
4
)
,
x
∈
Z
is
(i)
{2,3,4,5,6,...}
(ii)
{-2,-3,-4,-5,-6,...}
(iii)
{-1,0,1,2,3,...}
(iv)
{-1,-2,-3,-4,-5,...}
Question
44
44.
The simplified form of the inequality
(
7
x
−
2
)
<
(
−
5
)
,
x
∈
Z
is
(i)
x
<
(
−
3
7
)
,
x
∈
Z
(ii)
x
<
(
−
4
7
)
,
x
∈
Z
(iii)
x
≥
(
−
2
7
)
,
x
∈
Z
(iv)
x
>
(
−
4
7
)
,
x
∈
Z
(v)
x
≤
(
−
2
7
)
,
x
∈
Z
Question
45
45.
The simplified form of the inequality
(
−
2
x
)
>
(
−
8
)
,
x
∈
Z
is
(i)
x
<
9
2
,
x
∈
Z
(ii)
x
>
9
2
,
x
∈
Z
(iii)
x
<
4
,
x
∈
Z
(iv)
x
≤
7
2
,
x
∈
Z
(v)
x
≥
7
2
,
x
∈
Z
Question
46
46.
The simplified form of the inequality
(
7
x
−
9
)
≤
7
,
x
∈
Z
is
(i)
x
<
15
7
,
x
∈
Z
(ii)
x
>
15
7
,
x
∈
Z
(iii)
x
≤
17
7
,
x
∈
Z
(iv)
x
≤
16
7
,
x
∈
Z
(v)
x
≥
17
7
,
x
∈
Z
Question
47
47.
The simplified form of the inequality
(
−
x
−
6
)
≥
2
,
x
∈
Z
is
(i)
x
≥
(
−
9
)
,
x
∈
Z
(ii)
x
>
(
−
7
)
,
x
∈
Z
(iii)
x
≤
(
−
9
)
,
x
∈
Z
(iv)
x
<
(
−
7
)
,
x
∈
Z
(v)
x
≤
(
−
8
)
,
x
∈
Z
Question
48
48.
The simplified form of the inequality
(
−
7
x
)
<
(
6
x
+
4
)
,
x
∈
Z
is
(i)
x
>
(
−
3
13
)
,
x
∈
Z
(ii)
x
≤
(
−
5
13
)
,
x
∈
Z
(iii)
x
>
(
−
4
13
)
,
x
∈
Z
(iv)
x
≥
(
−
5
13
)
,
x
∈
Z
(v)
x
<
(
−
3
13
)
,
x
∈
Z
Question
49
49.
The simplified form of the inequality
(
−
4
x
)
>
(
−
7
x
+
1
)
,
x
∈
Z
is
(i)
x
>
1
3
,
x
∈
Z
(ii)
x
>
0
,
x
∈
Z
(iii)
x
≤
2
3
,
x
∈
Z
(iv)
x
≥
2
3
,
x
∈
Z
(v)
x
<
0
,
x
∈
Z
Question
50
50.
The simplified form of the inequality
(
−
2
x
−
7
)
≤
(
6
x
+
7
)
,
x
∈
Z
is
(i)
x
≥
(
−
15
8
)
,
x
∈
Z
(ii)
x
≥
(
−
7
4
)
,
x
∈
Z
(iii)
x
>
(
−
13
8
)
,
x
∈
Z
(iv)
x
≤
(
−
15
8
)
,
x
∈
Z
(v)
x
<
(
−
13
8
)
,
x
∈
Z
Question
51
51.
The simplified form of the inequality
(
−
2
x
−
9
)
≥
(
7
x
+
1
)
,
x
∈
Z
is
(i)
x
≥
(
−
11
9
)
,
x
∈
Z
(ii)
x
≤
(
−
11
9
)
,
x
∈
Z
(iii)
x
<
(
−
1
)
,
x
∈
Z
(iv)
x
≤
(
−
10
9
)
,
x
∈
Z
(v)
x
>
(
−
1
)
,
x
∈
Z
Question
52
52.
Which of the following figures represents the solution set
{4,3,2,1,0,-1,...}
(i)
III
(ii)
I
(iii)
II
(iv)
IV
Question
53
53.
Which of the following figures represents the solution set
{0,-1,-2,-3,-4,-5,...}
(i)
IV
(ii)
II
(iii)
III
(iv)
I
Question
54
54.
Which of the following figures represents the solution set
{3,2,1,0,-1,-2,...}
(i)
I
(ii)
IV
(iii)
III
(iv)
II
Question
55
55.
Which of the following figures represents the solution set
{-7,-8,-9,-10,-11,-12,...}
(i)
I
(ii)
IV
(iii)
III
(iv)
II
Question
56
56.
Which of the following statements are true?
a)
Multiplying same negative number on both sides does not change the inequality
b)
Multiplying same positive number on both sides does not change the inequality
c)
Dividing same negative number on both sides does not change the inequality
d)
Subtracting same number on both sides does not change the inequality
e)
Dividing same positive number on both sides does not change the inequality
f)
Adding same number on both sides does not change the inequality
(i)
{b,d,e,f}
(ii)
{a,c,e}
(iii)
{c,d}
(iv)
{a,b}
(v)
{a,f,b}
Question
57
57.
Which of the following inequations is not the same as
(
3
x
+
3
)
<
(
5
x
−
5
)
,
x
∈
Z
(i)
(
−
18
x
−
18
)
>
(
−
30
x
+
30
)
,
x
∈
Z
(ii)
(
−
9
x
−
9
)
>
(
−
15
x
+
15
)
,
x
∈
Z
(iii)
(
−
6
x
−
6
)
>
(
−
10
x
+
10
)
,
x
∈
Z
(iv)
(
−
6
x
−
6
)
<
(
−
45
x
+
45
)
,
x
∈
Z
(v)
(
−
27
x
−
27
)
>
(
−
45
x
+
45
)
,
x
∈
Z
Question
58
58.
Which of the following inequations is not the same as
(
−
3
x
+
7
)
≤
(
6
x
+
3
)
,
x
∈
Z
(i)
(
−
27
x
+
63
)
≤
(
−
6
x
−
3
)
,
x
∈
Z
(ii)
(
3
x
−
7
)
≥
(
−
6
x
−
3
)
,
x
∈
Z
(iii)
(
−
27
x
+
63
)
≤
(
54
x
+
27
)
,
x
∈
Z
(iv)
(
−
15
x
+
35
)
≤
(
30
x
+
15
)
,
x
∈
Z
(v)
(
−
21
x
+
49
)
≤
(
42
x
+
21
)
,
x
∈
Z
Question
59
59.
Which of the following inequations is not the same as
(
3
x
−
3
)
>
(
4
x
−
4
)
,
x
∈
Z
(i)
(
21
x
−
21
)
>
(
28
x
−
28
)
,
x
∈
Z
(ii)
(
−
9
x
+
9
)
<
(
−
12
x
+
12
)
,
x
∈
Z
(iii)
(
−
27
x
+
27
)
>
(
28
x
−
28
)
,
x
∈
Z
(iv)
(
24
x
−
24
)
>
(
32
x
−
32
)
,
x
∈
Z
(v)
(
−
27
x
+
27
)
<
(
−
36
x
+
36
)
,
x
∈
Z
Question
60
60.
Which of the following inequations is not the same as
(
−
2
x
+
3
)
≥
(
−
9
x
−
2
)
,
x
∈
Z
(i)
(
6
x
−
9
)
≤
(
27
x
+
6
)
,
x
∈
Z
(ii)
(
−
14
x
+
21
)
≥
(
−
63
x
−
14
)
,
x
∈
Z
(iii)
(
−
14
x
+
21
)
≥
(
36
x
+
8
)
,
x
∈
Z
(iv)
(
8
x
−
12
)
≤
(
36
x
+
8
)
,
x
∈
Z
(v)
(
−
18
x
+
27
)
≥
(
−
81
x
−
18
)
,
x
∈
Z
Question
61
61.
Find the solution set of given inequality
(
−
4
x
−
24
)
<
0
,
x
∈
Z
(i)
{-7,-8,-9,-10,...}
(ii)
{-6,-5,-4,-3,...}
(iii)
{-6,-7,-8,-9,...}
(iv)
{-5,-4,-3,-2,...}
Question
62
62.
Find the solution set of given inequality
(
4
x
+
20
)
>
0
,
x
∈
Z
(i)
{-5,-6,-7,-8,...}
(ii)
{-5,-4,-3,-2,...}
(iii)
{-4,-3,-2,-1,...}
(iv)
{-6,-7,-8,-9,...}
Question
63
63.
Find the solution set of given inequality
(
−
4
x
)
≤
0
,
x
∈
Z
(i)
{1,2,3,4,...}
(ii)
{-1,-2,-3,-4,...}
(iii)
{0,-1,-2,-3,...}
(iv)
{0,1,2,3,...}
Question
64
64.
Find the solution set of given inequality
(
−
9
x
+
45
)
≥
0
,
x
∈
Z
(i)
{5,4,3,2,...}
(ii)
{5,6,7,8,...}
(iii)
{6,7,8,9,...}
(iv)
{4,3,2,1,...}
Question
65
65.
Find the solution set of
6
<
(
−
x
−
8
)
<
17
,
x
∈
Z
(i)
{-17,-18,-19,-20,-21,-22,-23,-24,-25,-26}
(ii)
{-14,-15,-16,-17,-18,-19,-20,-21,-22,-23}
(iii)
{-16,-17,-18,-19,-20,-21,-22,-23,-24,-25}
(iv)
{-15,-16,-17,-18,-19,-20,-21,-22,-23,-24}
(v)
{-13,-14,-15,-16,-17,-18,-19,-20,-21,-22}
Question
66
66.
Find the solution set of
6
>
(
3
x
+
5
)
>
(
−
17
)
,
x
∈
Z
(i)
{0,-1,-2,-3,-4,-5,-6,-7}
(ii)
{-2,-3,-4,-5,-6,-7,-8,-9}
(iii)
{1,0,-1,-2,-3,-4,-5,-6}
(iv)
{2,1,0,-1,-2,-3,-4,-5}
(v)
{-1,-2,-3,-4,-5,-6,-7,-8}
Question
67
67.
Find the solution set of
(
−
5
)
≤
(
−
4
x
+
6
)
≤
19
,
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
68
68.
Find the solution set of
10
≥
(
x
−
4
)
≥
(
−
1
)
,
x
∈
Z
(i)
{16,15,14,13,12,11,10,9,8,7,6,5}
(ii)
{13,12,11,10,9,8,7,6,5,4,3,2}
(iii)
{15,14,13,12,11,10,9,8,7,6,5,4}
(iv)
{12,11,10,9,8,7,6,5,4,3,2,1}
(v)
{14,13,12,11,10,9,8,7,6,5,4,3}
Question
69
69.
Find the solution set of
0
<
(
8
x
−
9
)
≤
12
,
x
∈
Z
(i)
{2}
(ii)
{0}
(iii)
{3}
(iv)
{1}
(v)
{4}
Question
70
70.
Find the solution set of
(
−
4
)
>
(
5
x
+
8
)
≥
(
−
29
)
,
x
∈
Z
(i)
{-3,-4,-5,-6,-7}
(ii)
{-5,-6,-7,-8,-9}
(iii)
{-2,-3,-4,-5,-6}
(iv)
{-4,-5,-6,-7,-8}
(v)
{-1,-2,-3,-4,-5}
Question
71
71.
Find the solution set of
(
−
9
)
≤
(
−
9
x
−
6
)
<
20
,
x
∈
Z
(i)
{1,0,-1}
(ii)
{-2,-3,-4}
(iii)
{2,1,0}
(iv)
{-1,-2,-3}
(v)
{0,-1,-2}
Question
72
72.
Find the solution set of
12
≥
(
7
x
+
1
)
>
(
−
15
)
,
x
∈
Z
(i)
{-1,-2,-3,-4}
(ii)
{2,1,0,-1}
(iii)
{1,0,-1,-2}
(iv)
{3,2,1,0}
(v)
{0,-1,-2,-3}
Question
73
73.
Which of the following inequations represent the shaded region?
(i)
(
y
−
9
)
<
0
(ii)
(
y
+
1
)
<
0
(iii)
(
y
−
5
)
<
0
(iv)
(
y
−
1
)
<
0
Question
74
74.
Which of the following inequations represent the shaded region?
(i)
(
y
−
4
)
>
0
(ii)
(
y
−
1
)
>
0
(iii)
(
y
−
7
)
>
0
(iv)
(
y
+
8
)
>
0
(v)
(
y
−
8
)
>
0
Question
75
75.
Which of the following inequations represent the shaded region?
(i)
(
y
−
8
)
≤
0
(ii)
(
y
+
8
)
≤
0
(iii)
(
y
+
6
)
≤
0
(iv)
(
y
−
5
)
≤
0
(v)
y
≤
0
Question
76
76.
Which of the following inequations represent the shaded region?
(i)
(
y
+
9
)
≥
0
(ii)
(
y
−
9
)
≥
0
(iii)
(
y
−
5
)
≥
0
(iv)
(
y
+
4
)
≥
0
Question
77
77.
Which of the following inequations represent the shaded region?
(i)
(
x
+
9
)
<
0
(ii)
(
x
−
3
)
<
0
(iii)
(
x
+
4
)
<
0
(iv)
(
x
+
7
)
<
0
(v)
(
x
−
8
)
<
0
Question
78
78.
Which of the following inequations represent the shaded region?
(i)
x
>
0
(ii)
(
x
+
7
)
>
0
(iii)
(
x
−
9
)
>
0
(iv)
(
x
+
8
)
>
0
(v)
(
x
+
6
)
>
0
Question
79
79.
Which of the following inequations represent the shaded region?
(i)
(
x
−
5
)
≤
0
(ii)
x
≤
0
(iii)
(
x
+
2
)
≤
0
(iv)
(
x
+
5
)
≤
0
(v)
(
x
+
1
)
≤
0
Question
80
80.
Which of the following inequations represent the shaded region?
(i)
(
x
−
2
)
≥
0
(ii)
(
x
+
8
)
≥
0
(iii)
(
x
+
7
)
≥
0
(iv)
(
x
−
7
)
≥
0
(v)
(
x
−
4
)
≥
0
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (i)
5) (iii)
6) (ii)
7) (i)
8) (iv)
9) (iv)
10) (i)
11) (iii)
12) (iv)
13) (ii)
14) (ii)
15) (i)
16) (ii)
17) (ii)
18) (i)
19) (v)
20) (v)
21) (iv)
22) (iv)
23) (iv)
24) (v)
25) (iv)
26) (ii)
27) (iv)
28) (v)
29) (v)
30) (ii)
31) (iv)
32) (i)
33) (ii)
34) (v)
35) (iv)
36) (i)
37) (ii)
38) (i)
39) (iv)
40) (i)
41) (ii)
42) (iii)
43) (iii)
44) (i)
45) (iii)
46) (iv)
47) (v)
48) (iii)
49) (i)
50) (ii)
51) (iv)
52) (iv)
53) (ii)
54) (iv)
55) (iii)
56) (i)
57) (iv)
58) (i)
59) (iii)
60) (iii)
61) (iv)
62) (iii)
63) (iv)
64) (i)
65) (iv)
66) (i)
67) (iii)
68) (v)
69) (i)
70) (i)
71) (v)
72) (iii)
73) (ii)
74) (i)
75) (v)
76) (i)
77) (iv)
78) (iii)
79) (i)
80) (ii)
