Inequality Question

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Inequality Question

by f2001290 » Sat May 26, 2007 11:03 am
2. If x and y are nonzero integers,
is ((x^-1) + (y^-1))^-1 > [(x^-1)(y^-1)]^-1 ?

(1) x = 2 y

(2) x + y > 0

Source: Some yahoo group

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by Cybermusings » Sun May 27, 2007 12:20 am
Is it A?

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Re: Inequality Question

by gviren » Tue May 29, 2007 6:00 am
I think it is A

It boils down to xy/(x+y) > xy

1) x=2y ---> both x and y have same sign
xy is always (+)ive
xy is always > than xy/(x+y) for (-)ive as well as (+)ive values of x and y

take x=-4 and y = -1
or take x=4 and y=1

2) doesn't provide info on xy. Insuff

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by f2001290 » Tue May 29, 2007 6:25 am
I don't have the OA. I got it from my mail box.

I am going with A. I am sure of A if Jayhawk confirms it :)

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by priya_rai1 » Fri Jun 01, 2007 1:39 am
I think it is (E)
what if x=0.4 and y=0.2?
then xy<xy/x+y

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by f2001290 » Fri Jun 01, 2007 3:11 am
Priya

Question stem says that x and y are non-zero Integers

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by gmat doctor » Mon Jun 04, 2007 2:45 pm
one more vote for A
Play hard or dont play at all

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by axisymmetric » Thu Jun 07, 2007 4:15 pm
I had it wrong initially - I am editing it :lol:

Its from Manhattan GMAT and the answer is A.