Question 130
Prove that for all positive real numbers $a,b,c$,
$$\frac{a+b-2c}{b+c}+\frac{b+c-2a}{c+a}+\frac{c+a-2b}{a+b}\ge0.$$
When does equality hold?
$$\frac{a+b-2c}{b+c}+\frac{b+c-2a}{c+a}+\frac{c+a-2b}{a+b}\ge0.$$
When does equality hold?
MathNet 2020 — Math Olympiad Vault — Part 04 Question 130
Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 04