Question 6
Let $x$ and $y$ be positive real numbers with $x + y = 1$. Prove that
$$
\frac{x+1}{y} + \frac{y+1}{x} \geq 6.
$$
When does equality hold?
$$
\frac{x+1}{y} + \frac{y+1}{x} \geq 6.
$$
When does equality hold?
MathNet 2024-part-01 — 168 problems (EN–VI) Question 6
Math Olympiad Vault · MathNet 2024-part-01 — 168 problems (EN–VI)