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# which of the following must be true?

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Director
Joined: 25 Oct 2008
Posts: 601
Location: Kolkata,India
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Kudos [?]: 901 [0], given: 100

which of the following must be true? [#permalink]

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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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Manager
Joined: 01 May 2009
Posts: 106
Followers: 2

Kudos [?]: 46 [0], given: 11

Re: which of the following must be true? [#permalink]

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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.
Senior Manager
Joined: 11 Dec 2008
Posts: 479
Location: United States
GMAT 1: 760 Q49 V44
GPA: 3.9
Followers: 40

Kudos [?]: 205 [0], given: 12

Re: which of the following must be true? [#permalink]

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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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# which of the following must be true?

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