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# DS- Is XY > 0

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SVP
Joined: 21 Jul 2006
Posts: 1520
Followers: 12

Kudos [?]: 822 [0], given: 1

DS- Is XY > 0 [#permalink]

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21 Nov 2007, 16:25
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Is XY > 0?

(1) X-Y > -2

(2) X - 2Y < -6

VP
Joined: 09 Jul 2007
Posts: 1102
Location: London
Followers: 6

Kudos [?]: 110 [0], given: 0

Re: DS- Is XY > 0 [#permalink]

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21 Nov 2007, 17:24
[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
Posts: 639
Followers: 6

Kudos [?]: 331 [0], given: 0

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21 Nov 2007, 17:27
If we solve thee linear inequalities, the two inequalities intersect where X and Y are both positive. Hence XY > 0. (C).
SVP
Joined: 28 Dec 2005
Posts: 1561
Followers: 3

Kudos [?]: 158 [0], given: 2

Re: DS- Is XY > 0 [#permalink]

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21 Nov 2007, 19:48
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, 19:48
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