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TGE: Junior | Next Rank: 30 Posts; Posts: 13; Joined: Sat May 16, 2009 9:14 pm; Location: New York

by TGE » Sat May 16, 2009 9:45 pm

Hello all,

Need help with understanding how to solve the following question efficiently:

Is xy > 0?

(1) x - y > -2
(2) x - 2y < -6

OA: C

Many thanks.[/spoiler]

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Source: Beat The GMAT — Data Sufficiency | Sat May 16, 2009 9:45 pm

cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

by cramya » Sat May 16, 2009 10:07 pm

I am assuming u probably got to determining that the 2 statements individually are not SUFF

1) x - y > -2
(2) x - 2y < -6 => - 6 > x- 2y

TOGETHER:

We can add inequalities facing same direction

x-y>-2
-6>x-2y

x-y + -6 > -2 + x - 2y

We get y>4

Lets say we keep y=4 and we know x - y>-2 i.e x > -2+y
x > -2+4
x>2

We can see that x and y are positive so xy>0

SUFF

C

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TGE: Junior | Next Rank: 30 Posts; Posts: 13; Joined: Sat May 16, 2009 9:14 pm; Location: New York

by TGE » Sun May 17, 2009 6:13 am

Makes sense. I was able to eliminate A,B and D, but was struggling between C and E. The part I was missing was lining up and adding the two inequalities.

Thanks for the help, Cramya.

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