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# Is X>Y? 1). (X-Y)/X>0 2). (X^2-Y^2)/X^2>0

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Director
Joined: 06 Sep 2006
Posts: 745
Followers: 1

Kudos [?]: 16 [0], given: 0

Is X>Y? 1). (X-Y)/X>0 2). (X^2-Y^2)/X^2>0 [#permalink]  21 Jul 2007, 20:42
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Is X>Y?

1). (X-Y)/X>0

2). (X^2-Y^2)/X^2>0
Intern
Joined: 18 Jul 2007
Posts: 15
Followers: 0

Kudos [?]: 4 [0], given: 0

[#permalink]  21 Jul 2007, 22:00
(S1) (x-y)/x > 0 can be rewritten as x/x - y/x > 0 =
1 - y/x > 0 = [1 > y/x]
x = 4, y = 3 will satisfy, however just try the opposite, x = -4, y = -3 will also satisfy
INSUFF

(S2) (x^2 - y^2)/x^2 > 0 can be rewritten in the same fashion as above to [1 > (y^2)/(x^2)]
try plugging in the same values as above, both work
INSUFF

(S1 & S2) because we used the same test values for both equations, we don't even have to check.
we know that x=4, y=3 will satisfy both equations as well as x=-4,y=-3

so E
[#permalink] 21 Jul 2007, 22:00
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# Is X>Y? 1). (X-Y)/X>0 2). (X^2-Y^2)/X^2>0

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