IN-TST 2002 Problem 20

Let $a,b,c$ be positive real numbers. Prove that $\frac{a}b+\frac{b}c+\frac{c}a \geq \frac{c+a}{c+b}+\frac{a+b}{a+c}+\frac{b+c}{b+a}$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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