BeatGMATinGVA wrote:Is 1/p > r/(r^2 + 2) ?
1) p = r
2) r > 0
I would say 1) is enough but... OA is C
Thanks for help!
Or, proceeding algebraically, using only Statement 1: If p = r, we can rephrase the question:
Is 1/r > r/(r^2 + 2) ?
Note that we can't multiply both sides by r here, since we don't know whether r is negative (if r is negative, we would need to reverse the inequality). We can, however, multiply by r^2 + 2 on both sides, since r^2 + 2 must be positive. Rephrasing the question by doing that, we want to know if:
(r^2 + 2)/r > r
(r^2/r) + (2/r) > r
r + (2/r) > r
2/r > 0
r > 0
That is, using Statement 1, the question becomes "Is r > 0?" We need Statement 2 to be sure of the answer to that question. C.
