Question 23
Find all non-zero real numbers $x$ such that
$$
\min \left\{ 4, x + \frac{4}{x} \right\} \ge 8 \min \left\{ x, \frac{1}{x} \right\}.
$$
$$
\min \left\{ 4, x + \frac{4}{x} \right\} \ge 8 \min \left\{ x, \frac{1}{x} \right\}.
$$
MathNet 2010 — Part 06 Question 23
Math Olympiad Vault · MathNet 2010 — Part 06