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EAMCET Engineering 2007 Solved Paper
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© examsnet.com
Question : 95
Total: 160
The set of values of
x
for which the inequalities
x
2
−
3
x
−
10
<
0
,
10
x
−
x
2
−
16
>
0
hold simultaneously, is
(
−
2
,
5
)
(
2
,
8
)
(
−
2
,
8
)
(
2
,
5
)
Validate
Solution:
Given inequalities are
x
2
−
3
x
−
10
<
0
⇒
x
2
−
5
x
+
2
x
−
10
<
0
⇒
(
x
+
2
)
(
x
−
5
)
<
0
⇒
x
∈
(
−
2
,
5
)
and
10
x
−
x
2
−
16
>
0
⇒
x
2
−
10
x
+
16
<
0
⇒
x
2
−
8
x
−
2
x
+
16
<
0
⇒
(
x
−
2
)
(
x
−
8
)
<
0
⇒
x
∈
(
2
,
8
)
∴
x
∈
(
−
2
,
5
)
∩
(
2
,
8
)
⇒
x
∈
(
2
,
5
)
© examsnet.com
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