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kourakis
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Joined: Sun Jun 20, 2010 2:22 am
 

If -2x > 3y, is x negative

by kourakis Sun Aug 14, 2011 6:15 pm

(1) y>0
(2) 2x+5y-20=0

OA is D

Nice problem. Initially I thought it is A, but after the following reasoning I chose D. Is there any better way of solving this?

solution:

(1) -2x>3y. If y>0, then x needs to be negative (zero would not work). Sufficient

(2) break down equation as follows

2x+5y-20=0 >>
(2x+3y)+2y-20=0>>
At this point we note that 2x+3y is negative (given statement), and that -20 is negative. Therefore 5y HAS to be positive. Since -2x>3y, x is negative. Sufficient
RonPurewal
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Re: If -2x > 3y, is x negative

by RonPurewal Mon Aug 15, 2011 2:30 am

here is one solution
post11370.html#p11370

if you have further questions, please post them on that thread. thanks.