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# If x-y>10, is x-y>x+y?

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Manager
Joined: 13 Mar 2009
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04 Oct 2009, 01:53
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Difficulty:

65% (hard)

Question Stats:

57% (02:12) correct 43% (01:09) wrong based on 66 sessions

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If x - y > 10, is x - y > x + y?

(1) x = 8
(2) y = -20
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
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04 Oct 2009, 05:10
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Expert's post
If x - y > 10, is x - y > x + y?

Given: $$x-y>10$$. Question: is $$x-y>x+y$$ --> is $$2y<0$$ --> is $$y<0$$.

(1) x = 8 --> $$8-y>10$$ --> $$y<-2$$, hence $$y<0$$. Sufficient.
(2) y = -20, hence $$y<0$$. Sufficient.

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Senior Manager
Joined: 31 Aug 2009
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Location: Sydney, Australia
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Kudos [?]: 235 [0], given: 20

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04 Oct 2009, 02:38
Statement 1: x = 8. Solving x-y>10 equation you get y<-2.
Given y<0 any value for X will prove x-y > x+y
Sufficient

Statement 2: y = -20. Sufficient for same reason as Statement 1.

I'm not sure if this is the best way to solve though...
Manager
Joined: 03 Jun 2010
Posts: 183
Location: United States (MI)
Concentration: Marketing, General Management
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15 Jul 2010, 00:49
Seems, i got problem with it.
(1) x=8, y=5, then 8-5>8+5 wrong
x=8, y=-5, then 8--5>8-5 right
so A looks unsuff
(2)y=-20
from x-y>x+y we have y<0 suff
Looks like (B)
Manager
Joined: 22 Jun 2010
Posts: 57
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Kudos [?]: 42 [0], given: 10

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15 Jul 2010, 04:59
ulm wrote:
Seems, i got problem with it.
(1) x=8, y=5, then 8-5>8+5 wrong
x=8, y=-5, then 8--5>8-5 right
so A looks unsuff
(2)y=-20
from x-y>x+y we have y<0 suff
Looks like (B)

If you know that x=8, you know that y has to be negative!!
--> Because: x-y>10

If x is 8 and some number is subtracted and you get a number >10, the subtracted number has to be <-2

Hence you CANNOT choose 5 for y as you did!

Hope this helps.
Manager
Joined: 16 Feb 2010
Posts: 225
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15 Jul 2010, 07:11
ulm wrote:
Seems, i got problem with it.
(1) x=8, y=5, then 8-5>8+5 wrong
x=8, y=-5, then 8--5>8-5 right
so A looks unsuff
(2)y=-20
from x-y>x+y we have y<0 suff
Looks like (B)

if x = 8 and y = 5,
then x-y>10 (WHICH IS A GIVEN !!!) is not fulfilled.........
Re: Inequality from GMATPrep   [#permalink] 15 Jul 2010, 07:11
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