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# is XY positive?

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SVP
Joined: 21 Jul 2006
Posts: 1510
is XY positive? [#permalink]

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22 Nov 2007, 03:52
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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.
CEO
Joined: 17 Nov 2007
Posts: 3584
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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22 Nov 2007, 04:42
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, 04:46, edited 1 time in total.
SVP
Joined: 21 Jul 2006
Posts: 1510

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22 Nov 2007, 04:46
how do you do the drawing? is there anyway that you can show me how?
CEO
Joined: 17 Nov 2007
Posts: 3584
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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22 Nov 2007, 04:47
wait a minutes....
CEO
Joined: 17 Nov 2007
Posts: 3584
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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22 Nov 2007, 05:16
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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SVP
Joined: 21 Jul 2006
Posts: 1510

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22 Nov 2007, 06:56
wow walker! you're the man. how on earth did you do that? which program are you using? is that just excel or how?
CEO
Joined: 17 Nov 2007
Posts: 3584
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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22 Nov 2007, 08:34
I use PhotoShop
SVP
Joined: 05 Jul 2006
Posts: 1747

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22 Nov 2007, 11:47
Is XY > 0?

(1) X-Y > -2

(2) X-2Y < -6

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
22 Nov 2007, 11:47
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# is XY positive?

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