EduSahara™ Assignment
Name : Solving Linear Inequations
Chapter : Linear Inequations
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Solve the inequation
(
3
x
−
12
)
<
0
,
x
∈
Z
(i)
{4,5,6,7,8,...}
(ii)
{4,3,2,1,0,...}
(iii)
{3,2,1,0,-1,...}
(iv)
{5,6,7,8,9,...}
Question
2
2.
Solve the inequation
(
−
3
x
−
24
)
>
0
,
x
∈
Z
(i)
{-8,-9,-10,-11,-12,...}
(ii)
{-8,-7,-6,-5,-4,...}
(iii)
{-7,-6,-5,-4,-3,...}
(iv)
{-9,-10,-11,-12,-13,...}
Question
3
3.
Solve the inequation
(
−
9
x
−
54
)
≤
0
,
x
∈
Z
(i)
{-7,-8,-9,-10,-11,...}
(ii)
{-5,-4,-3,-2,-1,...}
(iii)
{-6,-7,-8,-9,-10,...}
(iv)
{-6,-5,-4,-3,-2,...}
Question
4
4.
Solve the inequation
2
x
≥
0
,
x
∈
Z
(i)
{-1,-2,-3,-4,-5,...}
(ii)
{0,1,2,3,4,...}
(iii)
{0,-1,-2,-3,-4,...}
(iv)
{1,2,3,4,5,...}
Question
5
5.
Find the solution set for the given inequation
4
x
<
0
,
where the replacement set is
{2,1,0,-1,-2,-3,-4}
(i)
{0,1,2,3,4}
(ii)
{-1,-2,-3,-4,-5}
(iii)
{-1,-2,-3,-4}
(iv)
{0,-1,-2,-3,-4}
(v)
{1,2,3,4,5}
Question
6
6.
Find the solution set for the given inequation
(
−
3
x
+
15
)
>
0
,
where the replacement set is
{7,6,5,4,3,2,1}
(i)
{5,4,3,2,1}
(ii)
{4,3,2,1}
(iii)
{5,6,7,8,9}
(iv)
{4,3,2,1,0}
(v)
{6,7,8,9,10}
Question
7
7.
Find the solution set for the given inequation
(
−
5
x
+
10
)
≤
0
,
where the replacement set is
{-1,0,1,2,3,4,5}
(i)
{3,4,5,6,7}
(ii)
{2,3,4,5,6}
(iii)
{2,1,0,-1,-2}
(iv)
{2,3,4,5}
(v)
{1,0,-1,-2,-3}
Question
8
8.
Find the solution set for the given inequation
(
2
x
−
2
)
≥
0
,
where the replacement set is
{-2,-1,0,1,2,3,4}
(i)
{1,2,3,4}
(ii)
{2,3,4,5,6}
(iii)
{1,0,-1,-2,-3}
(iv)
{1,2,3,4,5}
(v)
{0,-1,-2,-3,-4}
Question
9
9.
The solution set of the inequality
(
−
9
x
+
8
)
<
(
−
7
x
+
3
)
,
x
∈
Z
is
(i)
{3,4,5,6,7,...}
(ii)
{0,-1,-2,-3,-4,...}
(iii)
{2,1,0,-1,-2,...}
Question
10
10.
The solution set of the inequality
(
−
3
x
−
1
)
>
(
−
4
x
−
3
)
,
x
∈
Z
is
(i)
{-3,-4,-5,-6,-7,...}
(ii)
{0,-1,-2,-3,-4,...}
(iii)
{-1,-2,-3,-4,-5,...}
(iv)
{-1,0,1,2,3,...}
(v)
{-2,-1,0,1,2,...}
Question
11
11.
The solution set of the inequality
(
−
5
x
−
1
)
≤
(
2
x
−
2
)
,
x
∈
Z
is
(i)
{1,2,3,4,5,...}
(ii)
{2,3,4,5,6,...}
(iii)
{-4,-5,-6,-7,-8,...}
(iv)
{0,-1,-2,-3,-4,...}
Question
12
12.
The solution set of the inequality
(
−
9
x
+
4
)
≥
(
7
x
−
8
)
,
x
∈
Z
is
(i)
{1,2,3,4,5,...}
(ii)
{0,-1,-2,-3,-4,...}
(iii)
{-2,-3,-4,-5,-6,...}
Question
13
13.
The solution set of the inequality
(
−
7
x
−
8
)
<
8
,
x
∈
Z
is
(i)
{-3,-4,-5,-6,-7,...}
(ii)
{2,3,4,5,6,...}
(iii)
{-1,-2,-3,-4,-5,...}
(iv)
{-2,-1,0,1,2,...}
Question
14
14.
The solution set of the inequality
(
−
3
x
)
>
6
,
x
∈
Z
is
(i)
{-1,0,1,2,3,...}
(ii)
{0,1,2,3,4,...}
(iii)
{1,2,3,4,5,...}
(iv)
{-2,-3,-4,-5,-6,...}
(v)
{-3,-4,-5,-6,-7,...}
Question
15
15.
The solution set of the inequality
(
9
x
−
3
)
≤
5
,
x
∈
Z
is
(i)
{1,2,3,4,5,...}
(ii)
{0,-1,-2,-3,-4,...}
Question
16
16.
The solution set of the inequality
(
−
x
+
4
)
≥
4
,
x
∈
Z
is
(i)
{-1,-2,-3,-4,-5,...}
(ii)
{0,1,2,3,4,...}
(iii)
{1,2,3,4,5,...}
(iv)
{-1,0,1,2,3,...}
(v)
{0,-1,-2,-3,-4,...}
Question
17
17.
The simplified form of the inequality
(
−
3
x
+
2
)
<
(
−
9
)
,
x
∈
Z
is
(i)
x
>
4
,
x
∈
Z
(ii)
x
≥
10
3
,
x
∈
Z
(iii)
x
<
4
,
x
∈
Z
(iv)
x
≤
10
3
,
x
∈
Z
(v)
x
>
11
3
,
x
∈
Z
Question
18
18.
The simplified form of the inequality
(
3
x
+
8
)
>
6
,
x
∈
Z
is
(i)
x
>
(
−
1
)
,
x
∈
Z
(ii)
x
<
(
−
1
)
,
x
∈
Z
(iii)
x
≤
(
−
1
3
)
,
x
∈
Z
(iv)
x
>
(
−
2
3
)
,
x
∈
Z
(v)
x
≥
(
−
1
3
)
,
x
∈
Z
Question
19
19.
The simplified form of the inequality
(
9
x
+
3
)
≤
7
,
x
∈
Z
is
(i)
x
>
1
3
,
x
∈
Z
(ii)
x
≥
5
9
,
x
∈
Z
(iii)
x
≤
4
9
,
x
∈
Z
(iv)
x
<
1
3
,
x
∈
Z
(v)
x
≤
5
9
,
x
∈
Z
Question
20
20.
The simplified form of the inequality
(
−
x
+
3
)
≥
(
−
6
)
,
x
∈
Z
is
(i)
x
≤
9
,
x
∈
Z
(ii)
x
<
10
,
x
∈
Z
(iii)
x
>
10
,
x
∈
Z
(iv)
x
≥
8
,
x
∈
Z
(v)
x
≤
8
,
x
∈
Z
Question
21
21.
The simplified form of the inequality
(
5
x
+
8
)
<
(
x
+
6
)
,
x
∈
Z
is
(i)
x
≥
(
−
1
4
)
,
x
∈
Z
(ii)
x
<
(
−
3
4
)
,
x
∈
Z
(iii)
x
<
(
−
1
2
)
,
x
∈
Z
(iv)
x
≤
(
−
1
4
)
,
x
∈
Z
(v)
x
>
(
−
3
4
)
,
x
∈
Z
Question
22
22.
The simplified form of the inequality
(
−
9
x
+
6
)
>
(
8
x
−
4
)
,
x
∈
Z
is
(i)
x
<
11
17
,
x
∈
Z
(ii)
x
<
10
17
,
x
∈
Z
(iii)
x
≤
9
17
,
x
∈
Z
(iv)
x
>
11
17
,
x
∈
Z
(v)
x
≥
9
17
,
x
∈
Z
Question
23
23.
The simplified form of the inequality
(
−
8
x
−
1
)
≤
(
−
9
x
+
9
)
,
x
∈
Z
is
(i)
x
<
9
,
x
∈
Z
(ii)
x
≥
11
,
x
∈
Z
(iii)
x
>
9
,
x
∈
Z
(iv)
x
≤
11
,
x
∈
Z
(v)
x
≤
10
,
x
∈
Z
Question
24
24.
The simplified form of the inequality
(
−
4
x
−
9
)
≥
(
5
x
+
4
)
,
x
∈
Z
is
(i)
x
≤
(
−
13
9
)
,
x
∈
Z
(ii)
x
>
(
−
4
3
)
,
x
∈
Z
(iii)
x
≥
(
−
14
9
)
,
x
∈
Z
(iv)
x
<
(
−
4
3
)
,
x
∈
Z
(v)
x
≤
(
−
14
9
)
,
x
∈
Z
Question
25
25.
Find the solution set of
(
−
7
)
<
(
2
x
+
3
)
<
1
,
x
∈
Z
(i)
{-3,-2,-1}
(ii)
{-4,-3,-2}
(iii)
{-6,-5,-4}
(iv)
{-2,-1,0}
(v)
{-5,-4,-3}
Question
26
26.
Find the solution set of
(
−
6
)
>
(
−
9
x
+
3
)
>
(
−
17
)
,
x
∈
Z
(i)
{2}
(ii)
{0}
(iii)
{3}
(iv)
{1}
(v)
{4}
Question
27
27.
Find the solution set of
9
≤
(
9
x
−
3
)
≤
20
,
x
∈
Z
(i)
{0}
(ii)
{3}
(iii)
{2}
(iv)
{1}
(v)
{4}
Question
28
28.
Find the solution set of
7
≥
(
−
x
−
6
)
≥
(
−
2
)
,
x
∈
Z
(i)
{-14,-13,-12,-11,-10,-9,-8,-7,-6,-5}
(ii)
{-13,-12,-11,-10,-9,-8,-7,-6,-5,-4}
(iii)
{-15,-14,-13,-12,-11,-10,-9,-8,-7,-6}
(iv)
{-12,-11,-10,-9,-8,-7,-6,-5,-4,-3}
(v)
{-11,-10,-9,-8,-7,-6,-5,-4,-3,-2}
Question
29
29.
Find the solution set of
(
−
6
)
<
(
−
7
x
−
3
)
≤
21
,
x
∈
Z
(i)
{1,0,-1,-2}
(ii)
{2,1,0,-1}
(iii)
{-2,-3,-4,-5}
(iv)
{-1,-2,-3,-4}
(v)
{0,-1,-2,-3}
Question
30
30.
Find the solution set of
(
−
12
)
>
(
−
9
x
+
7
)
≥
(
−
23
)
,
x
∈
Z
(i)
{4}
(ii)
{5}
(iii)
{2}
(iv)
{3}
(v)
{1}
Question
31
31.
Find the solution set of
(
−
17
)
≤
(
−
9
x
)
<
12
,
x
∈
Z
(i)
{2,1,0}
(ii)
{1,0,-1}
(iii)
{0,-1,-2}
(iv)
{3,2,1}
(v)
{-1,-2,-3}
Question
32
32.
Find the solution set of
(
−
6
)
≥
(
−
6
x
+
1
)
>
(
−
20
)
,
x
∈
Z
(i)
{1,2}
(ii)
{2,3}
(iii)
{3,4}
(iv)
{0,1}
(v)
{4,5}
Assignment Key
1) (iii)
2) (iv)
3) (iv)
4) (ii)
5) (iii)
6) (ii)
7) (iv)
8) (i)
9) (i)
10) (iv)
11) (i)
12) (ii)
13) (iv)
14) (v)
15) (ii)
16) (v)
17) (v)
18) (iv)
19) (iii)
20) (i)
21) (iii)
22) (ii)
23) (v)
24) (i)
25) (ii)
26) (i)
27) (iii)
28) (ii)
29) (v)
30) (iv)
31) (ii)
32) (ii)
