If -2X>3Y, is X negative? A. Y>0 B. 2X+5Y-20=0 : DS Archive
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# If -2X>3Y, is X negative? A. Y>0 B. 2X+5Y-20=0

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Intern
Joined: 25 Dec 2008
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If -2X>3Y, is X negative? A. Y>0 B. 2X+5Y-20=0 [#permalink]

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26 Dec 2008, 23:34
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If -2X>3Y, is X negative?
A. Y>0
B. 2X+5Y-20=0
SVP
Joined: 04 May 2006
Posts: 1926
Schools: CBS, Kellogg
Followers: 23

Kudos [?]: 1013 [0], given: 1

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27 Dec 2008, 01:59
shobuj40 wrote:
If -2X>3Y, is X negative?
A. Y>0
B. 2X+5Y-20=0

a. Y>0, 3Y>0 -->-2X>3Y>0 --> X must be negative, suff
b. 2X+5Y<2Y-->20<2Y, Y>10, the same as A, so b suff

D should be best
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Kudos [?]: 10 [0], given: 0

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27 Dec 2008, 05:10
Again
x=20; Y=-10
2.20+2.(-10)=20 2.-20+5.12

Also Again
X=-20; Y= (12)
2.-20+5.12=20

is it right or any other option left;
Manager
Joined: 10 Aug 2008
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28 Dec 2008, 11:03
1
KUDOS
-2x > 3y => 2x + 3y < 0

1st stat
--------

y > 0 , than given eq can only true when x is -ve

2nd stat
-------

2x + 5y -20 = 0 => 2x + 3y = 20 - 2y , replacing it in given eq.

20 -2y < 0 => y > 10, so again x should be -ve to prove given eq true

(D)
Re: DS   [#permalink] 28 Dec 2008, 11:03
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