Carcass wrote:
If m + n is an integer, then the reciprocal of m + n could equal all of the following EXCEPT
A) –1
B) any fraction between –1 and 0
C) 0
D) any fraction between 0 and 1
E) 1
Key property: If \(\frac{a}{b} = 0\), then \(a\) must equal zeroGiven: \(m + n\) is an integer
So, \(\frac{1}{m + n}\) is the reciprocal of \(m+n\)
In order for \(\frac{1}{m + n}\) to equal zero, the numerator must be zero.
Since the numerator of \(\frac{1}{m + n}\) is already 1, we know that \(\frac{1}{m + n}\) can never equal 0
Answer: C