Let $a, b\geq 0$, then prove or disprove $$(a+b)^{r}\leq a^r+b^r$$ where $r \in [0, 1]$.
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2What did you try so far? – NL1992 Nov 27 '19 at 16:40
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What's your own work on the subject? There are two values of $r$ for which the inequality becomes very easy... – Alexander Geldhof Nov 27 '19 at 16:41
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This is identical to Prove that $(p+q)^m \leq p^m+q^m$ – Nov 27 '19 at 16:41