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# |x-y|=>|x|-|y|?

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Manager
Joined: 13 Dec 2013
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GMAT 1: 710 Q46 V41
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06 May 2017, 17:08
Hi all, I'd like to confirm that |x-y| will always be greater than or equal to |x|-|y|.
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06 May 2017, 20:06
Cez005 wrote:
Hi all, I'd like to confirm that |x-y| will always be greater than or equal to |x|-|y|.

Yes, it is always true.

For more details, you can go through this post:

https://gmatclub.com/forum/math-absolut ... 86462.html
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06 May 2017, 20:07
Cez005 wrote:
Hi all, I'd like to confirm that |x-y| will always be greater than or equal to |x|-|y|.

Yes, |x-y|$$>=$$|x|-|y|...
If x and y are positive and x>y, BOTH will be equal.
Otherwise |x-y|>|x|-|y|
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

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Re: |x-y|=>|x|-|y|?   [#permalink] 06 May 2017, 20:07
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