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## Inequalities, Absolute Value, Data sufficiency

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RSK Just gettin' started!
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Inequalities, Absolute Value, Data sufficiency Mon Feb 20, 2012 9:24 am
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])

If y>=0, what is the value of x?

1) |x-3| >= y
2) |x-3| <= -y

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kul512 Rising GMAT Star
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Thu Feb 23, 2012 8:16 am
First Statement
|X-3|>=Y
as LHS is always a positive number, so depending on the value of Y, it will create many value of X.
Insufficient

Second Statement
|X-3|<=-Y
As Y is always non-negative so -Y is always non-positive. That means |X-3| is always less than or equal to a non-positive number, which is only possible when that number is zero. i.e. Y=0. So X=3
Sufficient

Thanked by: RSK
bharti.2010 Rising GMAT Star
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Wed Feb 29, 2012 9:39 pm
Hi,

Can u please explain your solution a little more. I did not understant why in 2nd statement Y is always non -ve. I always get stuck with absolute value questions? Can you help to understand this concept?

krusta80 Really wants to Beat The GMAT!
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Thu Mar 01, 2012 9:26 am
bharti.2010 wrote:
Hi,

Can u please explain your solution a little more. I did not understant why in 2nd statement Y is always non -ve. I always get stuck with absolute value questions? Can you help to understand this concept?
Y is always non-negative because they state it in the question... y>=0

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