Pick some numbers for m and n. You can pick m > n, m >> n (m much greater than n), m < n, m << n, or, my favorite, m = n, because there is no constraint against them being equal. If, however, it had said "unique" or "distinct," they cannot be equal.
So let's try m = n = 6.
\(\frac{6-1}{6-1}\) \(\frac{6+2}{6+2}\) The answer would be C, both equal 1.
Now m > n.
\(\frac{9-1}{6-1}\) or 8/5 vs \(\frac{9+2}{6+2}\) or 11/8 Now the answer would be A. Of course you really don't need to determine which is actually larger; you just need to determine that they are not equal.
The answer is D.
Carcass wrote:
m and n are integers greater than 2.
Quantity A |
Quantity B |
\(\frac{m-1}{n-1}\) |
\(\frac{m+2}{n+2}\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.