Question 107
Let $a, b, c$ be positive real numbers such that $a b c=8$. Prove that
$$
\frac{a b+4}{a+2}+\frac{b c+4}{b+2}+\frac{c a+4}{c+2} \geq 6
$$
$$
\frac{a b+4}{a+2}+\frac{b c+4}{b+2}+\frac{c a+4}{c+2} \geq 6
$$
MathNet 2016-part-02 — 184 problems (EN–VI) Question 107
Math Olympiad Vault · MathNet 2016-part-02 — 184 problems (EN–VI)