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

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If zy < xy < 0, is |x - z| + |x| = |z| ? (1) z < x [#permalink] New post 09 Mar 2008, 21:57
If zy < xy < 0, is |x - z| + |x| = |z| ?

(1) z < x
(2) y > 0
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Re: gmatprep inequalities and abs value [#permalink] New post 09 Mar 2008, 22:38
marcodonzelli wrote:
If zy < xy < 0, is |x - z| + |x| = |z| ?

(1) z < x
(2) y > 0


from i, x and z both are -ve. if they were +ve, then yz would be greater than xy but the given information is just reverse of that. so x and z both are -ves. now we can say that

|x - z| + |x| = |z|. suff.

from ii, y >0 meant x and z are -ve. again suff.

so got D.
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Re: gmatprep inequalities and abs value   [#permalink] 09 Mar 2008, 22:38
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If zy < xy < 0, is |x - z| + |x| = |z| ? (1) z < x

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