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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] New post 18 Feb 2011, 09:16
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48% (01:28) correct 52% (00:21) wrong based on 222 sessions
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] 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] New post 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] New post 26 Jan 2014, 20:31
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Re: If у + y = 0, which of the following must be true? (   [#permalink] 26 Jan 2014, 20:31
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