Question 27
Let $a$, $b$ and $c$ be positive real numbers satisfying $a + b + c + 2 = abc$.
Prove
$$
(a + 1)(b + 1)(c + 1) \geq 27.
$$
When does equality occur?
Prove
$$
(a + 1)(b + 1)(c + 1) \geq 27.
$$
When does equality occur?
MathNet 2019-part-01 — 184 problems (EN–VI) Question 27
Math Olympiad Vault · MathNet 2019-part-01 — 184 problems (EN–VI)