DS- Is XY > 0 : DS Archive
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DS- Is XY > 0

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DS- Is XY > 0 [#permalink]

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21 Nov 2007, 15:25
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Is XY > 0?

(1) X-Y > -2

(2) X - 2Y < -6

VP
Joined: 09 Jul 2007
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Re: DS- Is XY > 0 [#permalink]

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21 Nov 2007, 16:24
[quote="tarek99"]Is XY > 0?

(1) X-Y > -2

(2) X - 2Y <6>-2. x=0, x=2, y=-3 NO. x=1, y=1 Yes. insuff

2. x-2y<6> 2y-x>6. y=4 x=0 so NO. y=5, x=1 Yes. insuff.

Combined:

x-y>2
2y-x>6

if you graph it you will see x and y are positive. so C
Director
Joined: 11 Jun 2007
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21 Nov 2007, 16:27
If we solve thee linear inequalities, the two inequalities intersect where X and Y are both positive. Hence XY > 0. (C).
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Re: DS- Is XY > 0 [#permalink]

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21 Nov 2007, 18:48
Ravshonbek wrote:
tarek99 wrote:
Is XY > 0?

(1) X-Y > -2

(2) X - 2Y <6>-2. x=0, x=2, y=-3 NO. x=1, y=1 Yes. insuff

2. x-2y<6> 2y-x>6. y=4 x=0 so NO. y=5, x=1 Yes. insuff.

Combined:

x-y>2
2y-x>6

if you graph it you will see x and y are positive. so C

i never understood what the<6> notation means ... can you explain ?
Re: DS- Is XY > 0   [#permalink] 21 Nov 2007, 18:48
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