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# is XY positive?

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SVP
Joined: 21 Jul 2006
Posts: 1553
Followers: 8

Kudos [?]: 335 [0], given: 1

is XY positive? [#permalink]  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.
CEO
Joined: 17 Nov 2007
Posts: 3574
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 414

Kudos [?]: 2244 [0], given: 359

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.
SVP
Joined: 21 Jul 2006
Posts: 1553
Followers: 8

Kudos [?]: 335 [0], given: 1

how do you do the drawing? is there anyway that you can show me how?
CEO
Joined: 17 Nov 2007
Posts: 3574
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 414

Kudos [?]: 2244 [0], given: 359

Expert's post
wait a minutes....
CEO
Joined: 17 Nov 2007
Posts: 3574
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 414

Kudos [?]: 2244 [0], given: 359

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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GC56003.gif [ 12.99 KiB | Viewed 603 times ]

SVP
Joined: 21 Jul 2006
Posts: 1553
Followers: 8

Kudos [?]: 335 [0], given: 1

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: 3574
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 414

Kudos [?]: 2244 [0], given: 359

Expert's post
I use PhotoShop
SVP
Joined: 05 Jul 2006
Posts: 1516
Followers: 5

Kudos [?]: 124 [0], given: 39

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
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