Question 109
Let $a$, $b$ and $c$ be real numbers such that $0 \leqslant a, b, c \leqslant 2$. Show that
$$
(a-b)(b-c)(a-c) \leqslant 2
$$
$$
(a-b)(b-c)(a-c) \leqslant 2
$$
MathNet 2024-part-02 — 168 problems (EN–VI) Question 109
Math Olympiad Vault · MathNet 2024-part-02 — 168 problems (EN–VI)