Ian,
Thanks for the pointers. I think my approach yielded the correct answer because statement (1) guaranteed that p and r will have the same sign, and statement (2) did not impose any conditions that would cause p and r to take on different signs.
Perhaps a better solution would have been as follows:
stem: is 1/p > r/(r^2+2)
(1) If p=r,
The question in the stem, Is 1/p > r/(r^2+2) can be rewritten as:
is p<(r^2+2)/r
(since 1/a>1/b is equivalent to a<b, whenever a and b have the same sign)
The answer to the question can still not be determined, since p and r could be both +ve or both -ve.
Eg. 2<2+2/2, 2<3, but -2>-2+2/-2, ie. -2>-3.
Not Sufficient.
(2)r>0 does not tell us anything about P.
Considering both statements,
if r>0, and p=r
then, using the simplification from (1) above, p will always be less than p+anything, or p<p+2/p, since p=r.
Both Statements are sufficient.
