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Is x + y > 0 ? (1) x^2 - y^2 > 1 (2) (x/y) + 1 > 0

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S
Joined: 05 Mar 2017
Posts: 189
Concentration: Operations, General Management
Is x + y > 0 ? (1) x^2 - y^2 > 1 (2) (x/y) + 1 > 0  [#permalink]

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New post 14 Aug 2018, 05:09
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Difficulty:

  75% (hard)

Question Stats:

28% (01:41) correct 72% (02:08) wrong based on 25 sessions

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Is x + y > 0 ?

(1) x^2 - y^2 > 1

(2) (x/y) + 1 > 0
Math Expert
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V
Joined: 02 Aug 2009
Posts: 7103
Re: Is x + y > 0 ? (1) x^2 - y^2 > 1 (2) (x/y) + 1 > 0  [#permalink]

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New post 14 Aug 2018, 06:32
1
1
Is x + y > 0 ?

(1) x^2 - y^2 > 1
Both X and y >0 will satisfy.. say 8^2-2^2 and 8+2=10>0......Yes
But both negative can also satisfy...say (-8)^2-(-2)^2 and -8-2<0.....so NO
Insufficient

(2) (x/y) + 1 > 0
Again X/y will be positive for both X and y as positive and also for both as negative..
8/2+1=4+1>0.....yes and 8+2=10>0
(-8)/(-2)+1=4+1>0 but -8-2<0
Insufficient

Combined
Same values 8&2 and -8&-2 will satisfy both statements
Insufficient

E

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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: Is x + y > 0 ? (1) x^2 - y^2 > 1 (2) (x/y) + 1 > 0 &nbs [#permalink] 14 Aug 2018, 06:32
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