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Question Number 143122 by loveineq last updated on 10/Jun/21

$$\mathrm{Let}a,b\in [0,1]\mathrm{and}a+b⩽1.\mathrm{Prove}\mathrm{that}$$$$\frac{1}{1+a}+\frac{1}{1+b}+\frac{1}{2}⩽\frac{2}{a+b}$$$$$$

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