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# If x and y lie between -1 and 1, exclusive, is |x + y| > 1?

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Manager
Joined: 25 Dec 2018
Posts: 230
Location: India
Concentration: General Management, Finance
GMAT 1: 590 Q48 V23
GPA: 3.4
WE: Engineering (Consulting)
If x and y lie between -1 and 1, exclusive, is |x + y| > 1?  [#permalink]

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14 Apr 2019, 06:33
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Difficulty:

35% (medium)

Question Stats:

60% (01:13) correct 40% (01:40) wrong based on 25 sessions

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If x and y lie between -1 and 1, exclusive, is |x + y| > 1?

(1) |x| > |y| > 0.5

(2) xy < 0.
Math Expert
Joined: 02 Aug 2009
Posts: 7573
Re: If x and y lie between -1 and 1, exclusive, is |x + y| > 1?  [#permalink]

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14 Apr 2019, 09:14
If x and y lie between -1 and 1, exclusive, is |x + y| > 1?
Both have to be of same sign and equal to or greater than 0.5 OR equal to or less than -0.5.

(1) |x| > |y| > 0.5
If x and y are of same sign, yes.. otherwise no..
0.75+0.6>1..
0.75+(-0.6)<1
Insufficient

(2) xy < 0.
Both are of different sign, so it will always be less than 1..
Take max value of one say x is 0.99999, so y has to be at least 0.00001 but y is negative so it will never be greater than 1
Sufficient

B
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Re: If x and y lie between -1 and 1, exclusive, is |x + y| > 1?   [#permalink] 14 Apr 2019, 09:14
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