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