# INEQUALITY'S BLOG

## November 30, 2010

### van khea

Filed under: the new math — KKKVVV @ 10:26 pm

Let $a, b, c, r, s$ be positive real numbers such that $a\leq b\leq c$ or $a\geq b\geq c$. Prove that:

$a^{r+s}+b^{r+s}+c^{r+s}\geq a^rb^s+b^rc^s+c^ra^s$