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which of the following must be true?

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which of the following must be true? [#permalink] New post 06 Jun 2009, 04:57
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If y + | y | = 0, which of the following must be true?

(A) y > 0

(B) y≥0

(C) y < 0

(D) y≤0

(E) y = 0

[spoiler]OA:D[/spoiler]
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Re: which of the following must be true? [#permalink] New post 06 Jun 2009, 07:30
y + | y | = 0

| y | is always positive irrespective of y being +ve or -ve, therefore for y + | y | = 0 implies y must be 0 or -ve.

y<=0 is the right answer.
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Re: which of the following must be true? [#permalink] New post 06 Jun 2009, 07:36
Another way you can solve this problem is just to plug in numbers. Try a 0, a positive number, and a negative number, and you'll see that the solution doesn't hold for positive numbers, but does for the other two.
Re: which of the following must be true?   [#permalink] 06 Jun 2009, 07:36
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