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Found problems: 1

Fractal Edition 2, P3

Tags: abc , inequalities
The positive numbers $a$, $b$, and $c$ satisfy $abc = 1$. Show that: $$ \frac{1}{a^2+a}+\frac{1}{b^2+b}+\frac{1}{c^2+c} \ge \frac{3}{2}. $$