MathDB
Simple inequality

Source:

October 14, 2005
inequalities

Problem Statement

For all positive real numbers a,b,c a,b,c, prove that \frac {a}{b \plus{} c} \plus{} \frac {b}{c \plus{} a} \plus{} \frac {c}{a \plus{} b} \geq \frac {3}{2}.