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# Are x and y both positive? 1. 2x -2y = 1 2. x/y > 1

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Director
Joined: 04 Jan 2006
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Are x and y both positive? 1. 2x -2y = 1 2. x/y > 1 [#permalink]

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16 Apr 2006, 09:30
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50% (00:00) correct 50% (00:05) wrong based on 3 sessions

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Are x and y both positive?

1. 2x -2y = 1
2. x/y > 1

Please explain. Can any one give a strategy on how to solve this?
Intern
Joined: 15 Apr 2006
Posts: 23
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Kudos [?]: 5 [1] , given: 0

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16 Apr 2006, 09:42
1
KUDOS
1 or 2 alone certainly is insufficient

Now 1 and 2 together:

(1) -> x-y= 1/2 -> x>y -> x-y>0
(2) <=> x/y-1>0 -> (x-y)/y > 0
because x-y >0 -> y> 0, x>y -> x>0

so 1 and 2 together are sufficient

Director
Joined: 04 Jan 2006
Posts: 923
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Kudos [?]: 31 [0], given: 0

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16 Apr 2006, 09:54
bqminh1983.. you a genious..

some how I am not sure when I should substitute vs plug in numbers.. What is your take on it?
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# Are x and y both positive? 1. 2x -2y = 1 2. x/y > 1

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