Question 145
Let $x$, $y$, $z$ be positive real numbers and $x \le 1$. Show that
$$
xy + y + 2z \ge 4\sqrt{xyz}
$$
$$
xy + y + 2z \ge 4\sqrt{xyz}
$$
MathNet 2022-part-05 — 197 problems (EN–VI) Question 145
Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)