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xy < 0

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xy < 0 [#permalink] New post 09 Aug 2017, 15:30
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A
B
C
D
E

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0% (00:00) correct 0% (00:00) wrong based on 0 sessions


xy < 0

Quantity A
Quantity B
| x + y |
|x| + |y|


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: xy < 0 [#permalink] New post 16 Oct 2017, 00:05
This is the so called triangular inequality which states that |x+y|\leq|x|+|y|. Thus, the answer is B or C.

Since xy < 0 it must be that either x or y are negative. Thus, in this case it is impossible to have an equality for whatever number we fit in the equation. E.g. x = 1, y = -2; then, |1-2|\leq|1|+|-2| which becomes 1<3.

Thus, the answer is B
Re: xy < 0   [#permalink] 16 Oct 2017, 00:05
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