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abs. value - need help

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awilhelm: Master | Next Rank: 500 Posts; Posts: 117; Joined: Fri Oct 17, 2008 7:41 am

by awilhelm » Tue Jan 20, 2009 2:59 pm

If zy < xy < 0, is abs.val. of (x-z) + abs.val. of (x) = abs.val. of (z)?

1) z < x
2) y > 0

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Source: Beat The GMAT — Data Sufficiency | Tue Jan 20, 2009 2:59 pm

hypik21: Senior | Next Rank: 100 Posts; Posts: 35; Joined: Wed Nov 05, 2008 11:33 pm; Thanked: 4 times

by hypik21 » Tue Jan 20, 2009 9:49 pm

i believe the answer is D...from the statement, we can infer that both ZY and XY are negative. Since Z is less than X, this means that Y is positive...which is what statement 2 says. So now it is either D or E. Plug in values and you will see they are equal. Ex. Z=-10, X=-3

abs(-3--10)+abs(-3)=

10=(abs(-10))=10

D

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awilhelm: Master | Next Rank: 500 Posts; Posts: 117; Joined: Fri Oct 17, 2008 7:41 am

by awilhelm » Wed Jan 21, 2009 8:38 am

Correct! Thanks.

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