# Proof of inequality

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• Jun 14th 2006, 10:46 PM
malaygoel
Proof of inequality
For all positive real numbers a,b,c prove that
$\frac {a}{b+c} +$ $\frac {b}{c+a}+$ $\frac {c}{a+b}$ $\geq 3/2$
I applied AM-GM but no luck.