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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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New post 18 Feb 2011, 09:16
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A
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C
D
E

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

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New post 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).

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

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New post 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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New post 11 Sep 2016, 09:52
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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.
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Re: If у + |y| = 0, which of the following must be true?  [#permalink]

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New post 06 Dec 2017, 12:21
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Re: If у + |y| = 0, which of the following must be true? &nbs [#permalink] 06 Dec 2017, 12:21
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