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

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VP
Joined: 22 Nov 2007
Posts: 1079

Kudos [?]: 680 [0], given: 0

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

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09 Mar 2008, 22:57
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

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

Kudos [?]: 680 [0], given: 0

SVP
Joined: 29 Aug 2007
Posts: 2472

Kudos [?]: 845 [0], given: 19

Re: gmatprep inequalities and abs value [#permalink]

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09 Mar 2008, 23:38
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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Kudos [?]: 845 [0], given: 19

Re: gmatprep inequalities and abs value   [#permalink] 09 Mar 2008, 23:38
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