EduSahara™ Assignment
Name : Linear Inequations Equivalence
Chapter : Linear Inequations
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following is an inequation?
(i)
(
x
+
7
)
=
0
(ii)
(
−
4
x
+
1
)
<
0
,
x
∈
Z
(iii)
8
(iv)
(
9
x
+
3
)
Question
2
2.
Which of the following is not an inequation?
(i)
(
4
x
−
3
)
<
(
−
1
)
,
x
∈
Z
(ii)
(
5
x
−
8
)
=
(
−
1
)
(iii)
(
−
3
x
+
3
)
>
(
−
7
)
,
x
∈
Z
(iv)
(
−
x
)
≥
3
,
x
∈
Z
(v)
(
8
x
+
8
)
≤
1
,
x
∈
Z
Question
3
3.
Which of the following is not an inequation?
(i)
(
2
x
+
3
)
>
5
x
,
x
∈
Z
(ii)
(
6
x
+
3
)
=
(
4
x
+
9
)
(iii)
(
9
x
−
8
)
≥
(
−
9
x
−
4
)
,
x
∈
Z
(iv)
(
−
3
x
−
2
)
<
(
9
x
+
5
)
,
x
∈
Z
(v)
(
−
8
x
−
7
)
≤
(
−
7
x
+
9
)
,
x
∈
Z
Question
4
4.
Which of the following inequations is the same as
(
−
3
x
+
8
)
<
(
−
9
x
+
7
)
,
x
∈
Z
(i)
(
−
10
x
+
11
)
<
(
−
9
x
+
7
)
,
x
∈
Z
(ii)
(
−
3
x
+
8
)
<
(
−
16
x
+
10
)
,
x
∈
Z
(iii)
(
−
10
x
+
11
)
<
(
−
16
x
+
10
)
,
x
∈
Z
(iv)
(
−
3
x
+
8
)
>
(
−
16
x
+
10
)
,
x
∈
Z
(v)
(
−
10
x
+
11
)
>
(
−
9
x
+
7
)
,
x
∈
Z
Question
5
5.
Which of the following inequations is the same as
(
7
x
+
1
)
<
(
−
9
x
)
,
x
∈
Z
(i)
(
7
x
+
1
)
<
(
−
4
x
)
,
x
∈
Z
(ii)
(
12
x
+
1
)
<
(
−
9
x
)
,
x
∈
Z
(iii)
(
7
x
+
1
)
>
(
−
4
x
)
,
x
∈
Z
(iv)
(
12
x
+
1
)
<
(
−
4
x
)
,
x
∈
Z
(v)
(
12
x
+
1
)
>
(
−
9
x
)
,
x
∈
Z
Question
6
6.
Which of the following inequations is the same as
(
6
x
+
8
)
≤
(
−
x
−
6
)
,
x
∈
Z
(i)
(
2
x
+
4
)
>
(
−
x
−
6
)
,
x
∈
Z
(ii)
(
2
x
+
4
)
≤
(
−
5
x
−
10
)
,
x
∈
Z
(iii)
(
2
x
+
4
)
<
(
−
x
−
6
)
,
x
∈
Z
(iv)
(
6
x
+
8
)
>
(
−
5
x
−
10
)
,
x
∈
Z
(v)
(
6
x
+
8
)
<
(
−
5
x
−
10
)
,
x
∈
Z
Question
7
7.
Which of the following inequations is the same as
(
5
x
−
2
)
≤
(
−
2
x
+
7
)
,
x
∈
Z
(i)
(
5
x
−
2
)
<
(
4
x
+
1
)
,
x
∈
Z
(ii)
(
5
x
−
2
)
>
(
4
x
+
1
)
,
x
∈
Z
(iii)
(
11
x
−
8
)
≤
(
4
x
+
1
)
,
x
∈
Z
(iv)
(
11
x
−
8
)
<
(
−
2
x
+
7
)
,
x
∈
Z
(v)
(
11
x
−
8
)
>
(
−
2
x
+
7
)
,
x
∈
Z
Question
8
8.
Which of the following inequations is the same as
(
−
2
x
+
5
)
>
(
−
6
x
−
3
)
,
x
∈
Z
(i)
(
4
x
−
1
)
<
(
−
6
x
−
3
)
,
x
∈
Z
(ii)
(
−
2
x
+
5
)
<
(
−
9
)
,
x
∈
Z
(iii)
(
4
x
−
1
)
>
(
−
6
x
−
3
)
,
x
∈
Z
(iv)
(
4
x
−
1
)
>
(
−
9
)
,
x
∈
Z
(v)
(
−
2
x
+
5
)
>
(
−
9
)
,
x
∈
Z
Question
9
9.
Which of the following inequations is the same as
(
−
x
−
7
)
>
9
x
,
x
∈
Z
(i)
(
−
x
−
7
)
>
(
2
x
+
8
)
,
x
∈
Z
(ii)
(
−
x
−
7
)
<
(
2
x
+
8
)
,
x
∈
Z
(iii)
(
−
8
x
+
1
)
<
9
x
,
x
∈
Z
(iv)
(
−
8
x
+
1
)
>
(
2
x
+
8
)
,
x
∈
Z
(v)
(
−
8
x
+
1
)
>
9
x
,
x
∈
Z
Question
10
10.
Which of the following inequations is the same as
(
9
x
+
4
)
≥
(
−
x
+
9
)
,
x
∈
Z
(i)
7
≥
(
−
10
x
+
12
)
,
x
∈
Z
(ii)
(
9
x
+
4
)
>
(
−
10
x
+
12
)
,
x
∈
Z
(iii)
7
<
(
−
x
+
9
)
,
x
∈
Z
(iv)
(
9
x
+
4
)
<
(
−
10
x
+
12
)
,
x
∈
Z
(v)
7
>
(
−
x
+
9
)
,
x
∈
Z
Question
11
11.
Which of the following inequations is the same as
(
−
x
+
7
)
≥
(
−
2
x
+
5
)
,
x
∈
Z
(i)
(
−
8
x
+
3
)
≥
(
−
9
x
+
1
)
,
x
∈
Z
(ii)
(
−
8
x
+
3
)
<
(
−
2
x
+
5
)
,
x
∈
Z
(iii)
(
−
x
+
7
)
<
(
−
9
x
+
1
)
,
x
∈
Z
(iv)
(
−
x
+
7
)
>
(
−
9
x
+
1
)
,
x
∈
Z
(v)
(
−
8
x
+
3
)
>
(
−
2
x
+
5
)
,
x
∈
Z
Question
12
12.
Which of the following inequations is the same as
(
2
x
+
8
)
<
(
−
5
x
−
4
)
,
x
∈
Z
(i)
(
14
x
+
56
)
<
(
−
5
x
−
4
)
,
x
∈
Z
(ii)
(
14
x
+
56
)
<
(
−
35
x
−
28
)
,
x
∈
Z
(iii)
(
2
x
+
8
)
>
(
−
35
x
−
28
)
,
x
∈
Z
(iv)
(
14
x
+
56
)
>
(
−
5
x
−
4
)
,
x
∈
Z
(v)
(
2
x
+
8
)
<
(
−
35
x
−
28
)
,
x
∈
Z
Question
13
13.
Which of the following inequations is the same as
(
7
x
+
3
)
≤
(
4
x
−
9
)
,
x
∈
Z
(i)
(
56
x
+
24
)
<
(
4
x
−
9
)
,
x
∈
Z
(ii)
(
56
x
+
24
)
>
(
4
x
−
9
)
,
x
∈
Z
(iii)
(
7
x
+
3
)
>
(
32
x
−
72
)
,
x
∈
Z
(iv)
(
56
x
+
24
)
≤
(
32
x
−
72
)
,
x
∈
Z
(v)
(
7
x
+
3
)
<
(
32
x
−
72
)
,
x
∈
Z
Question
14
14.
Which of the following inequations is the same as
(
−
3
x
−
5
)
>
(
−
4
x
−
3
)
,
x
∈
Z
(i)
(
−
27
x
−
45
)
>
(
−
36
x
−
27
)
,
x
∈
Z
(ii)
(
−
27
x
−
45
)
>
(
−
4
x
−
3
)
,
x
∈
Z
(iii)
(
−
27
x
−
45
)
<
(
−
4
x
−
3
)
,
x
∈
Z
(iv)
(
−
3
x
−
5
)
<
(
−
36
x
−
27
)
,
x
∈
Z
(v)
(
−
3
x
−
5
)
>
(
−
36
x
−
27
)
,
x
∈
Z
Question
15
15.
Which of the following inequations is the same as
(
2
x
−
6
)
≥
(
−
8
x
+
1
)
,
x
∈
Z
(i)
(
2
x
−
6
)
<
(
48
x
−
6
)
,
x
∈
Z
(ii)
(
−
12
x
+
36
)
≤
(
48
x
−
6
)
,
x
∈
Z
(iii)
(
2
x
−
6
)
>
(
48
x
−
6
)
,
x
∈
Z
(iv)
(
−
12
x
+
36
)
<
(
−
8
x
+
1
)
,
x
∈
Z
(v)
(
−
12
x
+
36
)
>
(
−
8
x
+
1
)
,
x
∈
Z
Question
16
16.
Which of the following inequations is not the same as
(
−
2
x
−
5
)
<
(
−
8
x
−
8
)
,
x
∈
Z
(i)
(
−
4
x
−
1
)
<
(
−
10
x
−
4
)
,
x
∈
Z
(ii)
(
−
8
x
−
2
)
<
(
−
14
x
−
5
)
,
x
∈
Z
(iii)
(
2
x
−
5
)
<
(
−
14
x
−
5
)
,
x
∈
Z
(iv)
(
2
x
−
5
)
<
(
−
4
x
−
8
)
,
x
∈
Z
(v)
(
−
x
−
4
)
<
(
−
7
x
−
7
)
,
x
∈
Z
Question
17
17.
Which of the following inequations is not the same as
(
−
9
x
+
2
)
<
(
2
x
−
8
)
,
x
∈
Z
(i)
(
−
5
x
+
9
)
<
(
6
x
−
1
)
,
x
∈
Z
(ii)
(
−
14
x
+
11
)
<
(
−
3
x
+
1
)
,
x
∈
Z
(iii)
(
−
14
x
+
3
)
<
(
−
3
x
−
7
)
,
x
∈
Z
(iv)
(
−
5
x
+
9
)
<
(
−
3
x
−
7
)
,
x
∈
Z
(v)
(
−
15
x
−
7
)
<
(
−
4
x
−
17
)
,
x
∈
Z
Question
18
18.
Which of the following inequations is not the same as
(
−
6
x
−
6
)
≤
(
7
x
+
1
)
,
x
∈
Z
(i)
(
x
−
1
)
≤
(
15
x
−
6
)
,
x
∈
Z
(ii)
(
−
7
)
≤
13
x
,
x
∈
Z
(iii)
(
−
14
x
−
7
)
≤
(
−
x
)
,
x
∈
Z
(iv)
(
x
−
1
)
≤
(
14
x
+
6
)
,
x
∈
Z
(v)
(
2
x
−
13
)
≤
(
15
x
−
6
)
,
x
∈
Z
Question
19
19.
Which of the following inequations is not the same as
(
−
2
x
)
≤
(
−
4
x
−
9
)
,
x
∈
Z
(i)
(
−
7
x
+
4
)
≤
(
−
9
x
−
5
)
,
x
∈
Z
(ii)
(
−
9
x
+
8
)
≤
(
−
11
x
−
1
)
,
x
∈
Z
(iii)
(
−
8
x
−
9
)
≤
(
−
9
x
−
5
)
,
x
∈
Z
(iv)
(
−
8
x
−
9
)
≤
(
−
10
x
−
18
)
,
x
∈
Z
(v)
(
4
x
+
1
)
≤
(
2
x
−
8
)
,
x
∈
Z
Question
20
20.
Which of the following inequations is not the same as
(
x
+
5
)
>
(
9
x
−
3
)
,
x
∈
Z
(i)
3
x
>
(
11
x
−
8
)
,
x
∈
Z
(ii)
(
6
x
−
1
)
>
(
x
−
7
)
,
x
∈
Z
(iii)
(
6
x
−
1
)
>
(
14
x
−
9
)
,
x
∈
Z
(iv)
(
10
x
−
4
)
>
(
18
x
−
12
)
,
x
∈
Z
(v)
(
−
7
x
+
1
)
>
(
x
−
7
)
,
x
∈
Z
Question
21
21.
Which of the following inequations is not the same as
(
−
7
x
−
2
)
>
(
2
x
−
4
)
,
x
∈
Z
(i)
(
−
x
−
1
)
>
(
8
x
−
3
)
,
x
∈
Z
(ii)
(
−
12
x
−
8
)
>
(
−
3
x
−
10
)
,
x
∈
Z
(iii)
(
−
5
x
+
1
)
>
(
4
x
−
1
)
,
x
∈
Z
(iv)
(
−
5
x
+
1
)
>
(
−
3
x
−
10
)
,
x
∈
Z
(v)
(
−
15
x
+
3
)
>
(
−
6
x
+
1
)
,
x
∈
Z
Question
22
22.
Which of the following inequations is not the same as
(
4
x
+
3
)
≥
(
3
x
+
3
)
,
x
∈
Z
(i)
(
3
x
−
2
)
≥
(
2
x
−
2
)
,
x
∈
Z
(ii)
10
x
≥
9
x
,
x
∈
Z
(iii)
(
−
x
+
2
)
≥
(
−
2
x
+
2
)
,
x
∈
Z
(iv)
10
x
≥
(
7
x
+
4
)
,
x
∈
Z
(v)
(
8
x
+
4
)
≥
(
7
x
+
4
)
,
x
∈
Z
Question
23
23.
Which of the following inequations is not the same as
(
8
x
+
6
)
≥
(
2
x
+
6
)
,
x
∈
Z
(i)
(
5
x
+
10
)
≥
(
−
x
+
10
)
,
x
∈
Z
(ii)
(
5
x
+
10
)
≥
(
3
x
+
8
)
,
x
∈
Z
(iii)
(
3
x
+
3
)
≥
(
−
3
x
+
3
)
,
x
∈
Z
(iv)
(
10
x
+
4
)
≥
(
4
x
+
4
)
,
x
∈
Z
(v)
(
9
x
+
8
)
≥
(
3
x
+
8
)
,
x
∈
Z
Question
24
24.
Which of the following statements are true?
a)
Adding same number on both sides does not change the inequality
b)
Multiplying same negative number on both sides does not change the inequality
c)
Subtracting same number on both sides does not change the inequality
d)
Multiplying same positive number on both sides does not change the inequality
e)
Dividing same negative number on both sides does not change the inequality
f)
Dividing same positive number on both sides does not change the inequality
(i)
{b,e,d}
(ii)
{b,a}
(iii)
{b,f,a}
(iv)
{e,c}
(v)
{a,c,d,f}
Question
25
25.
Which of the following inequations is not the same as
(
4
x
−
9
)
<
(
−
7
x
−
3
)
,
x
∈
Z
(i)
(
−
24
x
+
54
)
>
(
42
x
+
18
)
,
x
∈
Z
(ii)
(
28
x
−
63
)
<
(
14
x
+
6
)
,
x
∈
Z
(iii)
(
20
x
−
45
)
<
(
−
35
x
−
15
)
,
x
∈
Z
(iv)
(
−
8
x
+
18
)
>
(
14
x
+
6
)
,
x
∈
Z
(v)
(
28
x
−
63
)
<
(
−
49
x
−
21
)
,
x
∈
Z
Question
26
26.
Which of the following inequations is not the same as
(
9
x
−
1
)
≤
(
−
3
x
)
,
x
∈
Z
(i)
(
−
45
x
+
5
)
≤
(
−
18
x
)
,
x
∈
Z
(ii)
(
−
45
x
+
5
)
≥
15
x
,
x
∈
Z
(iii)
(
54
x
−
6
)
≤
(
−
18
x
)
,
x
∈
Z
(iv)
(
45
x
−
5
)
≤
(
−
15
x
)
,
x
∈
Z
(v)
(
−
9
x
+
1
)
≥
3
x
,
x
∈
Z
Question
27
27.
Which of the following inequations is not the same as
(
5
x
+
8
)
>
(
4
x
−
5
)
,
x
∈
Z
(i)
(
25
x
+
40
)
>
(
20
x
−
25
)
,
x
∈
Z
(ii)
(
−
40
x
−
64
)
<
(
−
32
x
+
40
)
,
x
∈
Z
(iii)
(
−
15
x
−
24
)
<
(
−
12
x
+
15
)
,
x
∈
Z
(iv)
(
−
40
x
−
64
)
>
(
−
12
x
+
15
)
,
x
∈
Z
(v)
(
45
x
+
72
)
>
(
36
x
−
45
)
,
x
∈
Z
Question
28
28.
Which of the following inequations is not the same as
(
3
x
+
5
)
≥
(
5
x
+
6
)
,
x
∈
Z
(i)
(
21
x
+
35
)
≥
(
35
x
+
42
)
,
x
∈
Z
(ii)
(
−
15
x
−
25
)
≥
(
35
x
+
42
)
,
x
∈
Z
(iii)
(
6
x
+
10
)
≥
(
10
x
+
12
)
,
x
∈
Z
(iv)
(
−
15
x
−
25
)
≤
(
−
25
x
−
30
)
,
x
∈
Z
(v)
(
24
x
+
40
)
≥
(
40
x
+
48
)
,
x
∈
Z
Assignment Key
1) (ii)
2) (ii)
3) (ii)
4) (iii)
5) (iv)
6) (ii)
7) (iii)
8) (iv)
9) (iv)
10) (i)
11) (i)
12) (ii)
13) (iv)
14) (i)
15) (ii)
16) (iii)
17) (iv)
18) (i)
19) (iii)
20) (ii)
21) (iv)
22) (iv)
23) (ii)
24) (v)
25) (ii)
26) (i)
27) (iv)
28) (ii)
