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Question Number 162854 by HongKing last updated on 01/Jan/22

$$\mathrm{let}\mathrm{a};\mathrm{b};\mathrm{c}⩾0\mathrm{and}\mathrm{a}+\mathrm{b}+\mathrm{c}=3\mathrm{prove}\mathrm{that}:$$$$\frac{\mathrm{a}-1}{\sqrt{\mathrm{b}+3}}+\frac{\mathrm{b}-1}{\sqrt{\mathrm{c}+3}}+\frac{\mathrm{c}-1}{\sqrt{\mathrm{a}+3}}⩾0$$

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