olymmath

ILL 1967 Problem 37

    Prove that for arbitrary positive numbers the following inequality holds 1a+1b+1c≤a8+b8+c8a3b3c3.\frac{1}{a} + \frac{1}{b} + \frac{1}{c} \leq \frac{a^8 + b^8 + c^8}{a^3b^3c^3}.

    Dataset text AoPS wiki problems. Quoted with source.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Similar problems

    These problems have the most words in common with this statement.

    Locator ill/1967/p37 · Tag 9AVTS8GYMG · Edit this page on GitHub · Keys: j next, k previous