Question 75
Let $x$ and $y$ be positive real numbers such that $x + y = 2$. Prove that
$$
2 + xy(1 + xy) \geq 2x^y + 2y^x.
$$
$$
2 + xy(1 + xy) \geq 2x^y + 2y^x.
$$
MathNet 2024-part-05 — 168 problems (EN–VI) Question 75
Math Olympiad Vault · MathNet 2024-part-05 — 168 problems (EN–VI)