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If wz < 2, is z < 1?

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If wz < 2, is z < 1? [#permalink] New post 02 Jan 2010, 17:16
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If wz < 2, is z < 1?

(1) w > 2
(2) z < 2
[Reveal] Spoiler: OA
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Re: Is z<1 [#permalink] New post 02 Jan 2010, 17:41
If wz < 2, is z < 1?

(1) w > 2, subtract the equations (we can do it as the signs are in opposite direction)

wz-w<2-2 --> w(z-1)<0, as w is positive (given w>2), thus z-1 must be negative, product to be negative --> z-1<0 --> z<1. Sufficient.

(2) z < 2. We can take z=1.5>1 and w=0 --> wz<2 or z=0<1 and w=0 wz<0. Not sufficient.

Answer: A.
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Manager
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Re: Is z<1 [#permalink] New post 02 Jan 2010, 17:46
Thanks Bunuel

Even i got A. However, the OA given in the GMAC paper test is D.

I guess the OA (like many others in the paper tests) is wrong
Re: Is z<1   [#permalink] 02 Jan 2010, 17:46
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