easy ineq
Source: IZO 1 Junior Problem 4
December 16, 2008
inequalitiesinequalities proposed
Problem Statement
For the positive real numbers prove the inequality
\frac {c}{a \plus{} 2b} \plus{} \frac {a}{b \plus{} 2c} \plus{} \frac {b}{c \plus{} 2a}\ge1.