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Inequalities: Data Sufficiency

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mohit.khemu
 Post subject: Inequalities: Data Sufficiency
 Post Posted: Wed Apr 20, 2011 12:40 pm 
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Students


Posts: 16
If -2x>3y, is x negative?
(1) y>0
(2) 2x+5y-20=0

Ans: D
Could someone please explain how does stmt 2 answer the question.
Thanks in anticipation.
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prakhar_au
 Post subject: Re: Inequalities: Data Sufficiency
 Post Posted: Wed Apr 20, 2011 2:29 pm 
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Students


Posts: 13
From statement 2)

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

Given, -2x > 3y ---- (2)

Substitute (1) in (2):

5y-20 > 3y
or y > 10

Since y>0 then x<0.
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ramya_sund
 Post subject: Re: Inequalities: Data Sufficiency
 Post Posted: Wed Apr 20, 2011 2:47 pm 
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Course Students


Posts: 3
Hi
From the question you can solve to get
2x< -3y
x< - (3/2)y ....... eq 1

Then from statement 2, you solve to get
2x + 5y = 20
y = (20 - 2x) /5 ........ eq 2

Substitute equation 2 in eq 1 in place of Y

X < - (3/2) * (20 - 2x) /5
This would solve down to X < - 9
and hence x is negetive
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RonPurewal
 Post subject: Re: Inequalities: Data Sufficiency
 Post Posted: Thu Apr 21, 2011 4:19 am 
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ManhattanGMAT Staff


Posts: 7146
here you go

post11370.html#p11370
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mohit.khemu
 Post subject: Re: Inequalities: Data Sufficiency
 Post Posted: Fri Apr 22, 2011 3:07 pm 
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Students


Posts: 16
Thanks a lot Ron. Really appreciate the effort.
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jnelson0612
 Post subject: Re: Inequalities: Data Sufficiency
 Post Posted: Sat Apr 23, 2011 3:49 pm 
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ManhattanGMAT Staff


Posts: 1857
:-)

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Jamie Nelson
ManhattanGMAT Instructor
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