If 2(3x-2) 2x-2, then x can take which of the following values?

SSC CHSL 9 Jan 2017 Shift 1 Paper

Question : 54 of 100

Marks: +1, -0

If 2(3x-2) < 6-3x and 6x + 2(6-x) > 2x-2, then x can take which of the following values?

Solution:

Expression 1 :

2(3x-2) < 6-3x

⇒

6x − 4 6 − 3x

⇒

6x+3x<6+4⇒9x<10

⇒

x<{9x} /10

Expression 2 :

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

⇒

6x + 12 − 2x >2x − 2

⇒

4x-2x>-2-12⇒2x>-14

⇒

x>-14/2>-7

Combining above inequalities,

-7

x

10/9

The only number that satisfies above inequality is -5

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