My way of solving inequalities DS is as follow:

(as for your question I will try to reach a formula i can work with in according to the given statements)

One of the biggest problems in inequalities DS is the fact that

multiplying or dividing an inequality by a negative number reverses the order of the inequality, so people tend to make the following (and quite common) mistake.

1/p > r/(r^2+2) (multiple both sides by p*[r^2+2]

r^2+2 > rp

implementing statement 1 as p=r

and you get

r^2+2 > r^2

which seems right and choose (A) - Wrong !!!!

we have to make sure first that p*[r^2+2] is greater then 0 !

and the only way to know that is when r>0 and p=r

so the answer must be (C)