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# |x + y| = 10

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|x + y| = 10 [#permalink]  12 Aug 2018, 09:43
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Question Stats:

71% (01:18) correct 28% (00:58) wrong based on 35 sessions
$$|x + y| = 10$$

$$x ≥ 0$$

$$z < y – x$$

 Quantity A Quantity B z 10

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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Kudos [?]: 13 [1] , given: 0

Re: |x + y| = 10 [#permalink]  13 Aug 2018, 06:27
1
KUDOS
We can quickly check edge cases here:

|x+y| = 10 and x>=0

Let x = 0

Then y = 10

and z < 10 - 0

If x is any number bigger than 0, then y has to be less than 10 (by first constraint), and thus z is less than a number smaller than 10 minus a number bigger than 0, so z < 10.

So B.
Re: |x + y| = 10   [#permalink] 13 Aug 2018, 06:27
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