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Question Number 112796 by nimnim last updated on 09/Sep/20

$$Foranyrealnumbersx,yandzif$$$$x+y+z=2,thenprovethat$$$$xyz⩾8(1-x)(1-y)(1-z).$$

Commented by nimnim last updated on 10/Sep/20

$$\mathrm{Yes}\mathrm{sir}..$$

Commented by 1549442205PVT last updated on 10/Sep/20

$$\mathrm{The}\mathrm{inequality}\mathrm{is}\mathrm{false}\mathrm{when}\mathrm{x}=-1.4$$$$\mathrm{y}=0.9,\mathrm{z}=2.5\mathrm{because}\mathrm{xyz}=-3.15$$$$8(1-\mathrm{x})(1-\mathrm{y})(1-\mathrm{z})=-72/25=-2.88>-3.15$$$$\mathbf{You}\mathbf{need}\mathbf{must}\mathbf{look}\mathbf{at}\mathbf{your}\mathbf{question}$$$$\mathbf{It}\mathbf{seems}\mathbf{posted}\mathbf{ago}\mathbf{and}\mathbf{was}\mathbf{warned}$$

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