olymmath

JBMO-SL 2010 A5

    The real positive numbers x,y,zx, y, z satisfy the relations x≤2x \leq 2, y≤3,x+y+z=11y \leq 3, x+y+z=11. Prove that xyz≤6\sqrt{x y z} \leq 6.

    Dataset text NuminaMath olympiads. Quoted with source.

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