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Question Number 205640 by hardmath last updated on 26/Mar/24

$$\mathrm{If}\mathrm{a},\mathrm{b},\mathrm{c}>0\mathrm{and}\mathrm{abc}⩾1$$$$\mathrm{Prove}\mathrm{that}:$$$$\mathrm{a}+\mathrm{b}+\mathrm{c}⩾\frac{1+\mathrm{a}}{1+\mathrm{b}}+\frac{1+\mathrm{b}}{1+\mathrm{c}}+\frac{1+\mathrm{c}}{1+\mathrm{a}}$$

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