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|x|y > x|y|

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|x|y > x|y| [#permalink] New post 10 Aug 2018, 10:20
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Question Stats:

44% (00:47) correct 55% (00:31) wrong based on 9 sessions
\(|x|y > x|y|\)

Quantity A
Quantity B
\((x + y)^2\)
\((x – y)^2\)


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.

Kudos for R.A.E
[Reveal] Spoiler: OA

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Re: |x|y > x|y| [#permalink] New post 10 Aug 2018, 14:09
Carcass wrote:
\(|x|y > x|y|\)

Quantity A
Quantity B
\((x + y)^2\)
\((x – y)^2\)


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.

Kudos for R.A.E



\(|x|y > x|y|\)

x and y are on both sides. then why |x|y is greater than x|y|. x is negative ans y is positive.

The best answer is B. Plug values for x and y in order to prove.
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Re: |x|y > x|y| [#permalink] New post 10 Aug 2018, 15:04
here it is given |x|y > x|y|
meaning if x is negative and y is positive.
so from we get (-x+y)2 and (-x-y)2
clearly (-x-y)2 is greater. So B is greater.
Re: |x|y > x|y|   [#permalink] 10 Aug 2018, 15:04
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