Other Math Archive: Questions from October 12, 2023
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Prove the following WITHOUT USING CASES \[ (\forall x, y \in \mathbb{R} \backslash\{0\}) \quad \frac{1}{2}\left|\frac{x}{|x|}+\frac{y}{|y|}\right| \leq \frac{|x+y|}{|x|+|y|} \]1 answer -
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