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Byju's Answer
Standard X
Mathematics
Multiplying/Dividing a Positive Entity
a Solve the f...
Question
a) Solve the following inequation and represent the solution set on the number line :
2
x
−
5
≤
5
x
+
4
<
11
,
w
h
e
r
e
x
ϵ
I
b)
Solve the following inequation and represent the solution set on the number line ?
−
3
<
−
1
2
−
2
x
3
≤
5
6
,
x
ϵ
R
[6 MARKS]
Open in App
Solution
Each subpart: 3 Marks
a)
2
x
−
5
≤
5
x
+
4
a
n
d
5
x
+
4
<
11
,
x
ϵ
I
⇒
−
9
≤
3
x
a
n
d
5
x
<
7
⇒
−
3
≤
x
a
n
d
x
<
7
5
⇒
{
−
3
≤
x
<
7
5
,
x
ϵ
I
}
S
o
l
u
t
i
o
n
s
e
t
=
{
−
3
,
−
2
,
,
−
1
,
0
,
1
}
b)
G
i
v
e
n
:
−
3
<
−
1
2
−
2
x
3
≤
5
6
,
x
ϵ
R
.
⇒
−
18
<
3
−
4
x
≤
5
6
⇒
−
15
<
−
4
x
;
−
4
x
≤
8
⇒
x
<
15
4
;
x
≥
−
2
⇒
x
<
3.75
;
x
≥
−
2
S
o
l
u
t
i
o
n
s
e
t
=
{
−
2
≤
x
<
3.75
,
x
ϵ
R
}
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Similar questions
Q.
Solve the following inequation and represent the solution set on the number line:
−
2
2
3
≤
x
+
1
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<
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1
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,
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ϵ
R
.
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Q.
Solve the following inequation and represent the solution set on the number line:
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a) Solve the inequation and represent the solution set on the number line.
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x
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+
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≤
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,
w
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