Question 97
Let $a$, $b$, $c$ be strictly positive reals. Show that $$
\frac{a}{b c}+\frac{b}{a c}+\frac{c}{a b} \geqslant \frac{2}{a}+\frac{2}{b}-\frac{2}{c} .
$$ Attention, there is a "minus" in the right member!
\frac{a}{b c}+\frac{b}{a c}+\frac{c}{a b} \geqslant \frac{2}{a}+\frac{2}{b}-\frac{2}{c} .
$$ Attention, there is a "minus" in the right member!