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by goalevan » Sun Jul 03, 2011 8:26 pm
Is 1/p > [r/(r^2 + 2)]?
(r^2 + 2)/p > r?
(r^2 - rp + 2)/p > 0?
[r(r-p) + 2]/p > 0?

This statement is true when r(r-p) + 2 and p have the same sign, ie they are both positive or both negative. But we'll see whether we can simplify this with information from the statements.

Statement 1) p=r, or (p-r)=0

[r(0) + 2]/p > 0?

2/r > 0? r > 0? Is r positive?

We still do not know the sign of r, so this statement is insufficient alone.

Statement 2) r > 0

We still have no information on p, so this statement is insufficient alone.

Combined) our modified question stem from statement 1: r > 0? is confirmed by statement 2.

Sufficient.

IMO C