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# If -2x>3y, is x negative?

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Manager
Joined: 31 Mar 2006
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If -2x>3y, is x negative? [#permalink]  05 Jul 2006, 23:53
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If -2x>3y, is x negative?
1) y>o.
2)2x+5y-20=0

please explain.
Director
Joined: 13 Nov 2003
Posts: 793
Location: BULGARIA
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[#permalink]  06 Jul 2006, 00:11
HAllo
A) SInce Y>0 then 3y is positive and the stem is equivalent to -2x>0 then X is <0 and A is SUFF

B) 2x=20-5Y from stem 2x<-3y and from both 20-5y<-3y or -2y<-20 or y>10 and since -2x>3y then -2x>30 and X<-15 then B is also SUFF
Senior Manager
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Location: Sunnyvale, CA
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[#permalink]  06 Jul 2006, 09:47
(D).

I. If y is +ve, then x has to be -ve in order that -2x is +ve.. sufficient

II. -2x > 3y

2x + 3y < 0
2x + 3y + 2y < 2y
2x + 5y < 2y
20 < 2y
y > 10
x has to be -ve .. sufficient.

(D)
Director
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Re: DS [#permalink]  06 Jul 2006, 17:40
amansingla4 wrote:
If -2x>3y, is x negative?
1) y>o.
2)2x+5y-20=0

please explain.

(1) if y > 0 => -2x is +ve => x is -ve SUFF
(2) 2x = 20-5y

this => 2x+5y=20, from question take higher limit such that 2x =-3y => 2y = 20 => y > 0 and as in (1), x is -ve SUFF

(D)
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Re: DS   [#permalink] 06 Jul 2006, 17:40
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# If -2x>3y, is x negative?

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