If у + |y| = 0, which of the following must be true? : GMAT Problem Solving (PS)
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# If у + |y| = 0, which of the following must be true?

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If у + |y| = 0, which of the following must be true? [#permalink]

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18 Feb 2011, 09:16
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If у + |y| = 0, which of the following must be true?

(A) у > 0
(B) у is no less than 0
(C) у < 0
(D) у is not greater than 0
(E) y = 0
[Reveal] Spoiler: OA
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Re: If у + y = 0, which of the following must be true? ( [#permalink]

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18 Feb 2011, 09:30
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banksy wrote:
199. If у + IyI = 0, which of the following must be true?
(A) у > 0
(B) у is no less than 0
(C) у < 0
(D) у is not greater than 0
(E) y = 0

$$y+|y| = 0$$ --> $$|y|=-y$$. Now, LHS is an absolute value which is never negative hence RHS must also be non-negative: $$-y\geq{0}$$ --> $$y\leq{0}$$.

Or you can see right away that in order $$y+|y|=0$$ to hold true y must be either negative number (for example -3+|-3|=0) or zero (0+|0|=0).

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Re: If у + y = 0, which of the following must be true? ( [#permalink]

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14 Jun 2011, 01:08
true for 0 and y<0 values.
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Re: If у + y = 0, which of the following must be true? ( [#permalink]

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26 Jan 2014, 20:31
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Re: If у + |y| = 0, which of the following must be true? [#permalink]

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20 Apr 2015, 18:50
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Re: If у + |y| = 0, which of the following must be true? [#permalink]

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31 Jul 2015, 07:14
banksy wrote:
If у + |y| = 0, which of the following must be true?

(A) у > 0
(B) у is no less than 0
(C) у < 0
(D) у is not greater than 0
(E) y = 0

y must be negative and zero since positive y will give non-zero results
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Re: If у + |y| = 0, which of the following must be true? [#permalink]

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30 Aug 2016, 13:57
Hello from the GMAT Club BumpBot!

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Re: If у + |y| = 0, which of the following must be true? [#permalink]

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05 Sep 2016, 23:25
whts the difference between option c and d
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Re: If у + |y| = 0, which of the following must be true? [#permalink]

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11 Sep 2016, 09:52
sanaexam wrote:
whts the difference between option c and d

The difference is that C just implies that Y <0, where as D says Y < 0 or Y = 0.

If you plug values in as Y = 0, it will satisfy the equation.
Re: If у + |y| = 0, which of the following must be true?   [#permalink] 11 Sep 2016, 09:52
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