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|x| + |y| > |x + z|

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|x| + |y| > |x + z| [#permalink] New post 09 Aug 2018, 03:46
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Re: |x| + |y| > |x + z| [#permalink] New post 09 Aug 2018, 15:34
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Carcass wrote:
\(|x| + |y| > |x + z|\)

Quantity A
Quantity B
y
z


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E



General formula : \(|a| + |b| \geq|a+b|\)

In this case we don't know anything about z. Given datum is not sufficient.

The best answer is D.
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Re: |x| + |y| > |x + z| [#permalink] New post 24 Sep 2018, 03:05
General formula : |a|+|b|≥|a+b|
is this a formula for every value we put in? thanks
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Re: |x| + |y| > |x + z| [#permalink] New post 24 Feb 2020, 09:59
fixzion wrote:
General formula : |a|+|b|≥|a+b|
is this a formula for every value we put in? thanks


Yes, and the two sides are equal only if a and b are both non negatives, Otherwise, if ab<0 then |a|+|b|>|a+b|
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Re: |x| + |y| > |x + z| [#permalink] New post 18 Sep 2020, 02:11
In case someone is not aware of the property, they can do this:

Take x = 0,

Then you have |y| > |z|

Now its clearly seen, y can be lesser and greater than z, since only the absolute of y is greater than z.
Re: |x| + |y| > |x + z|   [#permalink] 18 Sep 2020, 02:11
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