Question 118
Prove that if $a, b, c$ are positive real numbers, then
$$
\frac{a}{b+c} + \frac{b}{c+a} + \frac{c}{a+b} \ge \frac{3}{2}.
$$
$$
\frac{a}{b+c} + \frac{b}{c+a} + \frac{c}{a+b} \ge \frac{3}{2}.
$$
MathNet 2002 — Part 01 Question 118
Math Olympiad Vault · MathNet 2002 — Part 01