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# If y + |y| = 0 which of the following must be true?

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

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07 May 2010, 22:05
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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
[Reveal] Spoiler: OA

Last edited by Bunuel on 03 Jul 2013, 07:24, edited 1 time in total.

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08 May 2010, 14:55
bibha wrote:
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

Thanks

$$y+|y|=0$$ means either $$y=0$$ or $$y<0$$ (in this case $$|y|=-y$$ and $$y + |y| = 0$$ becomes $$y-y= 0$$). So must be true that $$y\leq{0}$$.

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Manager
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22 Jun 2010, 16:09
How did u know that y was less than 0?

I am confused on the modules.

Isnt the process of doing these problems is x<0 and X>0?

In this case y + y =0 , 2y=0 , y=0 for x>0

and

y-y=0 , 0=0 , 0 for x<0

I am missing something here. My foundation for understanding these problems is wrong...

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23 Jun 2010, 05:50
ksharma12 wrote:
How did u know that y was less than 0?

I am confused on the modules.

Isnt the process of doing these problems is x<0 and X>0?

In this case y + y =0 , 2y=0 , y=0 for x>0

and

y-y=0 , 0=0 , 0 for x<0

I am missing something here. My foundation for understanding these problems is wrong...

You're missing the concept of absolute values. Absolute value is basically, "distance from zero". So |-3|=3, |-2|=2, |2|=2, etc.

Understand this and the problem will seem very simple to you.

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

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26 Apr 2015, 00:24
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Re: If y + |y| = 0 which of the following must be true? [#permalink]

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26 Apr 2015, 12:40
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Expert's post
Hi All,

This question is perfect for TESTing VALUES.

We're told that Y + |Y| = 0. We're asked which of the following MUST be true (which means "which of the following is ALWAYS TRUE no matter how many different examples we can come up with?")

The obvious value for Y is 0 (since 0 + |0| = 0)
Eliminate A and C.

Since there are still 3 values remaining, there MUST be other options to consider....

IF....
Y = -1
-1 + |-1| = 0
Eliminate B and E.

[Reveal] Spoiler:
D

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

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28 Jun 2016, 18:54
Hello from the GMAT Club BumpBot!

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

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12 Aug 2017, 10:00
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If y + |y| = 0 which of the following must be true?   [#permalink] 12 Aug 2017, 10:00
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