Inequality Question

[f2001290]

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

[Cybermusings]

Is it A?

[gviren]

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

[f2001290]

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

[priya_rai1]

I think it is (E)
what if x=0.4 and y=0.2?
then xy<xy/x+y

[f2001290]

Priya

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

[gmat doctor]

one more vote for A

[axisymmetric]

I had it wrong initially - I am editing it

Its from Manhattan GMAT and the answer is A.