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is XY positive?

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is XY positive? [#permalink] New post 22 Nov 2007, 02:52
Is XY > 0?

(1) X-Y > -2

(2) X-2Y < -6




Please provide an algebraic way of approaching this when choosing your answer because I believe using algebraic will save a lot more time than think of different numbers.
enjoy it.
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 [#permalink] New post 22 Nov 2007, 03:42
Expert's post
I think C. (corrected)
I used drawing.
It seems drawing to be faster way to find solution than algebraic one for me.

Last edited by walker on 22 Nov 2007, 03:46, edited 1 time in total.
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 [#permalink] New post 22 Nov 2007, 03:46
how do you do the drawing? is there anyway that you can show me how?
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 [#permalink] New post 22 Nov 2007, 03:47
Expert's post
wait a minutes....
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Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
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Kudos [?]: 1947 [0], given: 359

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 [#permalink] New post 22 Nov 2007, 04:16
Expert's post
xy>0 means that point (x,y) lie in I or III quadrants
xy<0 means that point (x,y) lie in II or IV quadrants

1. X-Y = -2 (red) passes through I,II,III quadrants - insuff

2. X-2Y < -6 (green) passes through I,II,III quadrants - insuff

1&2 (blue area) lies in I quadrant only - suff
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 [#permalink] New post 22 Nov 2007, 05:56
wow walker! you're the man. how on earth did you do that? which program are you using? is that just excel or how?
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 [#permalink] New post 22 Nov 2007, 07:34
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:-D I use PhotoShop
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 [#permalink] New post 22 Nov 2007, 10:47
Is XY > 0?

(1) X-Y > -2

(2) X-2Y < -6


ADD

Y-X<2
X-2Y<-6

-Y<-4

Y>4 , SUBSTITUTE IN 1 , WORST CASE SCNARIO IS THAT X = 4 THUS X>2

THERFORE XY>0
  [#permalink] 22 Nov 2007, 10:47
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