DS: Need help explaining OA

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sportcntr3: Junior | Next Rank: 30 Posts; Posts: 14; Joined: Wed Apr 22, 2009 10:00 am; Thanked: 1 times

by sportcntr3 » Wed Jun 10, 2009 5:24 am

Is xy>0

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

OA C

I'm not sure how to solve this problem, please help with an explanation. Thanks

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Source: Beat The GMAT — Data Sufficiency | Wed Jun 10, 2009 5:24 am

tohellandback: Legendary Member; Posts: 752; Joined: Sun May 17, 2009 11:04 pm; Location: Tokyo; Thanked: 81 times; GMAT Score:680

by tohellandback » Wed Jun 10, 2009 6:00 am

C because

1)x-y>-2
2)x-2y<-6
or 2y-x>6
add this with 1
y>4 so least value of y is 4
put this in 1
x>y-2
x must be >2
so both are positive
so xy>0

The powers of two are bloody impolite!!

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sportcntr3: Junior | Next Rank: 30 Posts; Posts: 14; Joined: Wed Apr 22, 2009 10:00 am; Thanked: 1 times

by sportcntr3 » Wed Jun 10, 2009 6:10 am

Got it thanks. Was unsure if you could add with inequalities

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tohellandback: Legendary Member; Posts: 752; Joined: Sun May 17, 2009 11:04 pm; Location: Tokyo; Thanked: 81 times; GMAT Score:680

by tohellandback » Wed Jun 10, 2009 6:15 am

oh yes you can..jus be careful of the signs..they screw up big time!!!

The powers of two are bloody impolite!!

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