Question 45
Let $a$, $b$ and $c$ be real numbers with $0 \le a, b, c \le 2$. Prove that
$$
(a - b)(b - c)(a - c) \le 2.
$$
When does equality hold?
$$
(a - b)(b - c)(a - c) \le 2.
$$
When does equality hold?
MathNet 2023-part-01 — 191 problems (EN–VI) Question 45
Math Olympiad Vault · MathNet 2023-part-01 — 191 problems (EN–VI)