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# If a and b are integers, and |a| > |b|, is a |b| < a

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Manager
Joined: 01 Aug 2008
Posts: 108
If a and b are integers, and |a| > |b|, is a |b| < a [#permalink]

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02 Jun 2009, 04:48
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If a and b are integers, and |a| > |b|, is a · |b| = 0

E

Need strategy/Approach to solve Inequalities. Pls Help

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Manager
Joined: 08 Feb 2009
Posts: 141
Schools: Anderson
Re: problem using absolute values [#permalink]

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02 Jun 2009, 05:27
(1)
If a = -2, b = -1, then the given inequality would be (-2). (1) < (-2+1). TRUE.
If a = -2, b = 0, then the given inequality would be (-2). (0) < (-2-0). FALSE.

INSUFFICIENT.

(2)
0 $$\leq$$ ab

If a = 2, b = 1, then the given inequality would be (2). (1) < (2-1). FALSE.
If a = -2, b = -1, then the given inequality would be (-2). (1) < (-2+1). TRUE.

INSUFFICIENT.

Combining,
a < 0 &&& 0 $$\leq$$ ab $$\Rightarrow$$ b $$\leq$$ 0

If a = -2, b = -1, then the given inequality would be (-2). (1) < (-2+1). TRUE.
If a = -2, b = 0, then the given inequality would be (-2). (0) < (-2-0). FALSE.

INSUFFICIENT.
Senior Manager
Joined: 15 Jan 2008
Posts: 267
Re: problem using absolute values [#permalink]

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04 Jun 2009, 00:43
One more for E..

when the value of b is 0, the equation doesnt hold true..

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: problem using absolute values   [#permalink] 04 Jun 2009, 00:43
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