Question 30
For all positive real numbers $u$ and $v$, prove
$$
\min \left\{ u, \frac{100}{v}, v + \frac{2023}{u} \right\} \le \sqrt{2123}.
$$
Here $\min X$ denotes the minimum element of $X$.
$$
\min \left\{ u, \frac{100}{v}, v + \frac{2023}{u} \right\} \le \sqrt{2123}.
$$
Here $\min X$ denotes the minimum element of $X$.