Crazy Intergers

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Re: Crazy Intergers

by Kirby » Mon Aug 04, 2008 6:54 pm
smclean23 wrote:If x and y are integers, then 1/x+y CANNOT be equal to
(A) –1
(B) 1/2
(C) 0
(D) -1/2
(E) 1



How to solve?





C

I'm assuming you meant to write (1)/(x+y)
Because it would make more sense logically.

The only way for a fraction to be zero is if the numerator is also zero.
But in this problem it is not the case.
If (x+y) in this problem were to net to zero then the problem would be undefined. "(1)/(0) = undefined"

So answer is "C"