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diebeatsthegmat: Legendary Member; Posts: 1119; Joined: Fri May 07, 2010 8:50 amFollowed by: 3 members; Thanked: 29 times

by diebeatsthegmat » Tue May 10, 2011 10:07 pm

If w + x < 0, is w - y > 0 ?

1) x + y < 0

2) y < x < w

[spoiler]i know B is sufficient but why A is not? if x+w< o (1) and x+y<0 (2) we can take (1)-(2) <=> w-y< o and sufficient.
why the answer cant be D?
[/spoiler]

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Source: Beat The GMAT — Data Sufficiency | Tue May 10, 2011 10:07 pm

sourabh33: Master | Next Rank: 500 Posts; Posts: 135; Joined: Tue Mar 22, 2011 12:01 pmFollowed by: 3 members; Thanked: 21 times; GMAT Score:720

by sourabh33 » Wed May 11, 2011 12:05 am

For Statement 1

When W = -5, X = -5, Y = 4 then w+x = -10 <0 , x+y = -1 <0, w-y=-9 < 0
When W = 5, X = -6, Y = -7 then w+x = -1<0 , x+y = -1 <0, w-y= 12 > 0
When W = 5, X = -6, Y = 5 then w+x = -1<0 , x+y = -1 <0, w-y= 0 = 0

There statement 1 is insufficient as w-y can have multiple solutions when x+y<0

Last edited by sourabh33 on Wed May 11, 2011 6:40 am, edited 1 time in total.

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Wed May 11, 2011 4:33 am

diebeatsthegmat wrote:If w + x < 0, is w - y > 0 ?

1) x + y < 0

2) y < x < w

[spoiler]i know B is sufficient but why A is not? if x+w< o (1) and x+y<0 (2) we can take (1)-(2) <=> w-y< o and sufficient.
why the answer cant be D?
[/spoiler]

Is w-y > 0?

Question rephrased: Is w > y?

Statement 1: x+y < 0.
Rewritten, y < -x.
Rewritten, w+x < 0 becomes w < -x.
Now we can see that both w and y are less than -x, but no information is given about whether w>y.
Insufficient.

Statement 2: y < x < w.
Thus, y < w.
Sufficient.

The correct answer is B.

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