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inequality

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January 31, 2016
inequalitieseasy inequalityeasy

Problem Statement

Let x,y,zx,y,z be real numbers such that, x≥y≥z>0x \geq y \geq z >0. Prove that x2−y2z+z2−y2x+x2−z2y≥3x−4y+z\frac{x^2-y^2}{z}+\frac{z^2-y^2}{x}+\frac{x^2-z^2}{y} \geq 3x-4y+z
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