Pinko wrote: Prove that for $\forall$ $a,b,c\in [\frac{1}{3},3]$ the following inequality is true: $\frac{a}{a+b}+\frac{b}{b+c}+\frac{c}{c+a}\geq \frac{7}{5}$. https://artofproblemsolving.com/community/c6h175423p969215 https://artofproblemsolving.com/community/c6h1195139p5849476