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# If |x | + |y | = –x – y

Author Message
Senior Manager
Joined: 04 Sep 2016
Posts: 359

Kudos [?]: 77 [0], given: 226

Location: India
WE: Engineering (Other)
If |x | + |y | = –x – y [#permalink]

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08 Oct 2017, 17:09
00:00

Difficulty:

35% (medium)

Question Stats:

91% (00:37) correct 9% (01:23) wrong based on 11 sessions

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If |x | + |y | = –x – y and xy does not equal 0, which of the following must be true?

(A) x + y > 0

(B) x + y < 0

(C) x – y > 0

(D) x – y < 0

(E) $$x^2 – y^2$$ > 0
[Reveal] Spoiler: OA

_________________

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Kudos [?]: 77 [0], given: 226

Senior Manager
Joined: 04 Sep 2016
Posts: 359

Kudos [?]: 77 [0], given: 226

Location: India
WE: Engineering (Other)
Re: If |x | + |y | = –x – y [#permalink]

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08 Oct 2017, 17:12
Bunuel shashankism Engr2012 VeritasPrepKarishma

Why can not I directly infer |x| = =x and |y|=-y from LHS and RHS summation?

Kudos [?]: 77 [0], given: 226

Math Expert
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132588 [1], given: 12326

Re: If |x | + |y | = –x – y [#permalink]

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08 Oct 2017, 20:58
1
KUDOS
Expert's post
If |x | + |y | = –x – y and xy does not equal 0, which of the following must be true?

(A) x + y > 0

(B) x + y < 0

(C) x – y > 0

(D) x – y < 0

(E) $$x^2 – y^2$$ > 0

Discussed here: https://gmatclub.com/forum/if-x-y-x-y-a ... 17990.html
_________________

Kudos [?]: 132588 [1], given: 12326

Re: If |x | + |y | = –x – y   [#permalink] 08 Oct 2017, 20:58
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