1. ## Inequality

Prove that if x, y, z are positive than
$\frac x{y+z}+\frac y{x+z}+\frac z{x+y}\ge \frac 32$.

(This is Nesbitt's inequality.)

2. Originally Posted by james_bond
Prove that if x, y, z are positive than
$\frac x{y+z}+\frac y{x+z}+\frac z{x+y}\ge \frac 32$.

(This is Nesbitt's inequality.)
It has proofs right on that page. I use the first one that appears.

3. Yeh, after I posted I found the inequality on Wikipedia so I edited my post with the link...