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# If zy<xy<0, is |x - z| + |x| = |z|? 1) z<x 2)

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If zy<xy<0, is |x - z| + |x| = |z|? 1) z<x 2) [#permalink]  02 Jun 2008, 14:29
If zy<xy<0, is |x - z| + |x| = |z|?
1) z<x
2) y>0

Would you explain this question for me? I am having trouble with absolute values...Thank you!
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Re: GP Absolute Value Q [#permalink]  02 Jun 2008, 15:07
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Re: GP Absolute Value Q [#permalink]  02 Jun 2008, 16:04
utgirl826 wrote:
If zy<xy<0, is |x - z| + |x| = |z|?
1) z<x
2) y>0

Would you explain this question for me? I am having trouble with absolute values...Thank you!

think of this problem in terms of a number line

zy<zx<0

we are told that
1)z<x..then we know that y is positive..

|x-z|+|x|=|z|

z--(z-x)-----x-----0

if Z >X

x----z---0
would b greater than Z..

z-x is just the difference btw z and x.. therefore |z-x|+|x| is always = |z|

2)
OK so Y>0..great than i now tht z<x..
Re: GP Absolute Value Q   [#permalink] 02 Jun 2008, 16:04
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