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Byju's Answer
Standard XII
Mathematics
Integration by Partial Fractions
Solve the fol...
Question
Solve the following inequality:
(
1
3
)
√
x
+
2
>
3
−
x
Open in App
Solution
(
1
3
)
√
x
+
2
>
3
−
x
3
−
√
x
+
2
>
3
−
x
−
√
x
+
2
>
−
x
⟹
√
x
+
2
<
x
⟹
x
2
−
x
−
2
>
0
⟹
x
∈
(
−
∞
,
−
1
)
∪
(
2
,
∞
)
and
x
+
2
≥
0
⟹
x
≥
−
2
So
x
∈
[
−
2
,
−
1
)
∪
(
2
,
∞
)
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