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# If a and b are negative numbers, is b > a ? (1) a/b > 1 (2) b/a < 1

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If a and b are negative numbers, is b > a ? (1) a/b > 1 (2) b/a < 1 [#permalink]
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Bunuel wrote:
If a and b are negative numbers, is b > a ?

(1) a/b > 1
(2) b/a < 1

Given: a and b are NEGATIVE numbers

IMPORTANT CONCEPT: If we divide both sides of an inequality by a NEGATIVE value, we must REVERSE the direction of the inequality sign.

Target question: Is b > a ?

Statement 1: a/b > 1
Multiply both sides of the inequality by b to get: a < b (notice that we REVERSED the direction of the inequality sign)
The answer to the target question is YES, it is true that b > a
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: b/a < 1
Multiply both sides of the inequality by a to get: b > a (notice that we REVERSED the direction of the inequality sign)
The answer to the target question is YES, it is true that b > a
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent

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Re: If a and b are negative numbers, is b > a ? (1) a/b > 1 (2) b/a < 1 [#permalink]
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Re: If a and b are negative numbers, is b > a ? (1) a/b > 1 (2) b/a < 1 [#permalink]
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