RS-SMO 2022 Problem 2

Let $a$ , $b$ and $c$ be positive real numbers and $a^3+b^3+c^3=3$ . Prove $\frac{1}{3-2a}+\frac{1}{3-2b}+\frac{1}{3-2c}\geq 3$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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