olymmath

OMM 2007 Problem 3

    Sean aa, bb, cc números reales positivos que satisfacen a+b+c=1a+b+c=1, muestra que

    a+bc+b+ca+c+ab≤2.\sqrt{a+bc}+\sqrt{b+ca}+\sqrt{c+ab} \leq 2.

    Official text Mexican Mathematical Olympiad 2007 official paper, page 1. Quoted with source.

    A model read this text from the scan of the paper by OCR, with vision/claude@2.1.318 (claude-opus-5-5). No person has checked it against the paper yet.

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