olymmath

SE-SKOLORNAS 2016 Problem 2

    Determine whether the inequality ∣x2+2x+5−x2−4x+8∣<3\left|\sqrt{x^2+2x+5}-\sqrt{x^2-4x+8}\right|<3 is valid for all real numbers xx .

    Dataset text AI-MO AoPS. Quoted with source.

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