SSC CHSL 8 Jan 2017 Shift 1 Paper

Question : 55 of 100

Marks: +1, -0

Given: 6x + 2(6-x) > 2x -2 < 5x/2 - 3x/4; then x can take which of the following values?

Solution:

Expression 1 :

2x-2<{5x}/2-{3x}/4

⇒

2x-2<{7x}/4

⇒

8x-8<7x

⇒

8x- 7x<8

⇒

x<8

-----(i)
Expression 2 :

6x+2(6-x)>2x-2

⇒

4x+12>2x-2

⇒

4x-2x>-12-2

⇒

2x>-14

⇒

x>-7

------(ii)
Combining inequalities (i) and (ii), we get :

-7

x

8

Thus, only value that can take among the options = 5

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