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# DS- Is XY > 0

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SVP
Joined: 21 Jul 2006
Posts: 1551
Followers: 8

Kudos [?]: 305 [0], given: 1

DS- Is XY > 0 [#permalink]  21 Nov 2007, 15:25
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Is XY > 0?

(1) X-Y > -2

(2) X - 2Y < -6

VP
Joined: 09 Jul 2007
Posts: 1108
Location: London
Followers: 6

Kudos [?]: 74 [0], given: 0

Re: DS- Is XY > 0 [#permalink]  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
Posts: 649
Followers: 3

Kudos [?]: 84 [0], given: 0

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: 1583
Followers: 2

Kudos [?]: 88 [0], given: 2

Re: DS- Is XY > 0 [#permalink]  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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