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

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|x-y|=>|x|-|y|?  [#permalink]

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New post 06 May 2017, 18:08
Hi all, I'd like to confirm that |x-y| will always be greater than or equal to |x|-|y|.
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Re: |x-y|=>|x|-|y|?  [#permalink]

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New post 06 May 2017, 21:06
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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Re: |x-y|=>|x|-|y|?  [#permalink]

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New post 06 May 2017, 21:07
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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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: |x-y|=>|x|-|y|? &nbs [#permalink] 06 May 2017, 21:07
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