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Hi squirrel, Thanks for your explanation.
I still second LM's point. why should we consider multiplying any positive expression with a negative variable ?

Both 1 and 2 Bingo... We know have r > 0.... So r + 2/r > r <1> r/(r^2 + 2)

SUFF.

Good explanation Fig.
Problem with equation like 1/r> r/r2+2 is that one can get tempt to go for full - r^2 + 2 = r^2- but the best way to solve this to stop at r^2 + 2 / r = r.With this answer become clear.