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# if wxy<0, xyz>0, is z>0? (1) w<0 (2) x>0

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Manager
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if wxy<0, xyz>0, is z>0? (1) w<0 (2) x>0 [#permalink]  12 Jul 2008, 14:55
if wxy<0, xyz>0, is z>0?

(1) w<0

(2) x>0
Senior Manager
Joined: 18 Jun 2007
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Re: inequality question [#permalink]  12 Jul 2008, 17:53
Jamesk486 wrote:
if wxy<0, xyz>0, is z>0?

(1) w<0

(2) x>0

St1... (-)(-)=(+) and (-)(-)(-) = (-) and since wxy is negative so if w<0 then
either x and y are both +ve
or x and y are both -ve

but it doesn't give further information. St1 insuff.

St2... says that x is +ve and that suggest that
either both y and z are positive
or both y and z are negative
no further information. St2 insuff.

Combined: by combining both we knows that both x and y are positive and since xyz is positive then z has to be positive. Suff.

Manager
Joined: 12 Jul 2008
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Re: inequality question [#permalink]  12 Jul 2008, 18:00
thanks for providing this information
Director
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Re: inequality question [#permalink]  12 Jul 2008, 19:30
A

statement 1: if w is negative, xy must be positive, if xy is positive and xyz is positive, z must be positive.
Suff

statement 2: x is positive, either w is negativ and y is positive OR w is positive and y is negative
If y is negative, z must be negative
If y is positive, z is positive
Insuff

Jamesk486 wrote:
if wxy<0, xyz>0, is z>0?

(1) w<0

(2) x>0
Manager
Joined: 21 Feb 2008
Posts: 70
Followers: 2

Kudos [?]: 38 [0], given: 1

Re: inequality question [#permalink]  12 Jul 2008, 19:51
gmatnub wrote:
A

statement 1: if w is negative, xy must be positive, if xy is positive and xyz is positive, z must be positive.
Suff

statement 2: x is positive, either w is negativ and y is positive OR w is positive and y is negative
If y is negative, z must be negative
If y is positive, z is positive
Insuff

That's right! A it is.
_________________

Is this okay?

Re: inequality question   [#permalink] 12 Jul 2008, 19:51
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