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MathNet 2020 — Math Olympiad Vault — Part 03 Question 94

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 03

Question 94

Solve in the real numbers the inequality:
$$
\frac{(x+2)^4}{x^3} - \frac{(x+2)^2}{2x} \geq -\frac{x}{16}.
$$