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

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Joined: 18 Apr 2015
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|x| + |y| > |x + z| [#permalink]  09 Aug 2018, 03:46
1
KUDOS
Expert's post
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Question Stats:

76% (00:47) correct 23% (00:42) wrong based on 34 sessions
$$|x| + |y| > |x + z|$$

 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
[Reveal] Spoiler: OA

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Manager
Joined: 06 Jun 2018
Posts: 94
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Kudos [?]: 58 [1] , given: 0

Re: |x| + |y| > |x + z| [#permalink]  09 Aug 2018, 15:34
1
KUDOS
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.

Intern
Joined: 10 Oct 2017
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Kudos [?]: 3 [0], given: 0

Re: |x| + |y| > |x + z| [#permalink]  24 Sep 2018, 03:05
General formula : |a|+|b|≥|a+b|
is this a formula for every value we put in? thanks
Re: |x| + |y| > |x + z|   [#permalink] 24 Sep 2018, 03:05
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