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# Is 1/(a - b) < b - a

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Re: Is 1/(a - b) < b - a [#permalink]
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Bumping for review and further discussion.
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Re: Is 1/(a - b) < b - a [#permalink]
Here the above equation can be reduced to is A-B <0
statement 1 is hence sufficient
but statement is not as we cannot tell whether A>B OR B>A
Hence A
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Re: Is 1/(a - b) < b - a [#permalink]
Is $$\frac{1}{(a - b)} < b -$$a ?

(1) $$a > b$$

If a > b then $$\frac{1}{(a - b)}$$ will be positive.

$$\frac{1}{(a - b) } > 0$$

$$b - a < 0$$

The question can be rephrased as $$is positive value < negative value$$? We can answer with certainty: no.

Sufficient.

(2) $$(a + b)(a – b) > 0$$

(a+b) and (a-b) are both either negative or positive. We can't determine which scenario, however.

We don't know if a < b or a > b. Insufficient.

Answer is A.
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Re: Is 1/(a - b) < b - a [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is 1/(a - b) < b - a [#permalink]
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