Question 124
For positive integers, prove the inequality:
$$
\frac{y}{2x + y} + \frac{z}{2y + z} + \frac{x}{2z + x} \geq 1.
$$
$$
\frac{y}{2x + y} + \frac{z}{2y + z} + \frac{x}{2z + x} \geq 1.
$$
MathNet 2018-part-06 — 181 problems (EN–VI) Question 124
Math Olympiad Vault · MathNet 2018-part-06 — 181 problems (EN–VI)