DS- Inequalities

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dell2: Senior | Next Rank: 100 Posts; Posts: 36; Joined: Thu Jun 02, 2011 10:28 am

by dell2 » Mon Jun 27, 2011 5:13 am

What is the value of y?

(1) 3|x2 - 4| = y - 2

(2) |3 - y| = 11

OA:C

Why OA is C ?

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Source: Beat The GMAT — Data Sufficiency | Mon Jun 27, 2011 5:13 am

Frankenstein: Legendary Member; Posts: 1448; Joined: Tue May 17, 2011 9:55 amFollowed by: 53 members; Location: India; Thanked: 375 times

by Frankenstein » Mon Jun 27, 2011 5:22 am

Hi,
From(1): 3|x2 - 4| = y - 2
As modulus is always non-negative, y-2 >= 0
so, y >= 2
Not Sufficient

From(2):
|3-y| = 11
So, y = -8 or y = 14
Not sufficient

Both(1)&(2):
y>=2 and y= -8 or 14
So, y=14
Sufficient

Hence, C

Cheers!

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