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Byju's Answer
Standard XII
Mathematics
Inequalities Involving Modulus Function
Solve the ine...
Question
Solve the inequality
3
(
x
−
2
)
5
≤
5
(
2
−
x
)
3
Open in App
Solution
3
(
x
−
2
)
5
≤
5
(
2
−
x
)
3
⇒
3
(
x
−
2
)
5
−
5
(
2
−
x
)
3
≤
0
⇒
3
x
−
6
5
−
10
−
5
x
3
≤
0
⇒
9
x
−
18
−
50
+
25
x
15
≤
0
⇒
34
x
−
68
≤
0
⇒
17
(
x
−
4
)
≤
0
⇒
x
−
4
≤
0
⇒
x
≤
4
∴
x
∈
(
−
∞
,
4
]
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0
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