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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 Post Mon Feb 20, 2012 9:24 am
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  • Lap #[LAPCOUNT] ([LAPTIME])
    Can someone please help me solve this? I have no idea how to do this. Thanks!

    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 Default Avatar
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    Post 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

    Answer B.

    Thanked by: RSK
    bharti.2010 Rising GMAT Star Default Avatar
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    Post 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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    Post 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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