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SSC CHSL 9-Jan-2017 Shift 1 Paper
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© examsnet.com
Question : 54
Total: 100
If 2(3x-2) < 6-3x and 6x + 2(6-x) > 2x-2, then x can take which of the following values?
-8
5
8
-5
Validate
Solution:
Expression 1 :
2
(
3
x
−
2
)
<
6
−
3
x
⇒
6
x
−
4
6
−
3
x
⇒
6
x
+
3
x
<
6
+
4
⇒
9
x
<
10
⇒
x
<
9
x
10
Expression 2 :
6
x
+
2
(
6
−
x
)
>
2
x
−
2
⇒
6
x
+
12
−
2
x
>
2
x
−
2
⇒
4
x
−
2
x
>
−
2
−
12
⇒
2
x
>
−
14
⇒
x
>
−
14
2
>
−
7
Combining above inequalities,
−
7
<
x
<
10
9
The only number that satisfies above inequality is -5
© examsnet.com
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