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

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Manager
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If a and b are integers, and |a| > |b|, is a |b| < a [#permalink] New post 02 Jun 2009, 03:48
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E

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If a and b are integers, and |a| > |b|, is a · |b| < a – b?

(1) a < 0

(2) ab >= 0

E

Need strategy/Approach to solve Inequalities. Pls Help
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Manager
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Joined: 08 Feb 2009
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Re: problem using absolute values [#permalink] New post 02 Jun 2009, 04:27
(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
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GMAT Tests User
Re: problem using absolute values [#permalink] New post 03 Jun 2009, 23:43
One more for E..

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

if the second statement hadnt had the equality, the answer may have been B.
Re: problem using absolute values   [#permalink] 03 Jun 2009, 23:43
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