Question 22
Find the smallest real number $c \gt 0$ such that
$$
\{x\} + \{y\} \lt c + xy
$$
for all real numbers $x, y \gt 0$ and $xy \lt 1$.
$$
\{x\} + \{y\} \lt c + xy
$$
for all real numbers $x, y \gt 0$ and $xy \lt 1$.
MathNet 2025 — Part 01 (100 complete bilingual questions) Question 22
Math Olympiad Vault · MathNet 2025 — Part 01 (100 complete bilingual questions)