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KEAM 2015 Math Paper
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© examsnet.com
Question : 57
Total: 120
If
|
x
−
3
|
<
2
x
+
9
,
then x lies in the interval
(-∞, -2)
(-2, 0)
(-2, ∞)
(2, ∞)
(-12, -2)
Validate
Solution:
|
x
−
3
|
<
2
x
+
9
⇒
−
(
2
x
+
9
)
<
x
−
3
<
2
x
+
9
⇒
−
2
x
−
9
<
x
−
3
and
x
−
3
<
2
x
+
9
⇒
−
3
x
<
6
and
−
x
<
12
⇒
x
>
−
2
and
x
>
−
12
⇒
x
>
−
2
∴
x
∈
(
−
2
,
∞
)
© examsnet.com
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