BD-BDMO 2019 Problem 2

Prove that,if $a,b,c$ are positive real numbers, $\dfrac{a}{bc}+ \dfrac{b}{ca}+\dfrac{c}{ab}\geq \dfrac{2}{a}+\dfrac{2}{b}-\dfrac{2}{c}$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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