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# The greatest possible value of

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The greatest possible value of [#permalink]  07 Dec 2017, 03:06
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Question Stats:

73% (01:04) correct 26% (00:36) wrong based on 19 sessions
 Quantity A Quantity B The greatest possible value of $$\frac{2}{x-y}$$ where $$9 \leq x \leq 12$$ and $$-2 \leq y \leq 8$$ 2

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The greatest possible value of [#permalink]  08 Dec 2017, 00:06
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that x could be 9, y could be 8
2/1=2 ?
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Joined: 18 Apr 2015
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Kudos [?]: 915 [0], given: 4351

Re: The greatest possible value of [#permalink]  08 Dec 2017, 02:17
Expert's post

regards
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Re: The greatest possible value of [#permalink]  17 Feb 2018, 01:32
Maximum value of Quantity A will be obtained if we put least possible value of x-y in denominator. That will be minimum value of x and maximum of y.
Hence, Choice C is correct.
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Kudos [?]: 17 [1] , given: 33

Re: The greatest possible value of [#permalink]  17 Feb 2018, 04:04
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Yes, I have C as well. Because of the negative in x-y, plug in the least value of x (=9) with the greatest value of y (=8).
Re: The greatest possible value of   [#permalink] 17 Feb 2018, 04:04
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