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Question Number 143229 by loveineq last updated on 11/Jun/21

$$\mathrm{Let}a,b,c⩾0\mathrm{and}(1+a)(1+b)(1+c)=8.$$$$\mathrm{Prove}\mathrm{that}$$$$(a+\frac{2b+1}{a+b+1})(b+\frac{2c+1}{b+c+1})(c+\frac{2a+1}{c+a+1})⩾8$$$$$$

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