Bridge, Algorithms, Math etc.: Inequality from the French math olympiad

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Tuesday, March 16, 2021

Inequality from the French math olympiad

I think it is from the French Olympiad, not sure.

$x, y$ are positive reals. Show that

$x^y + y^x \ge 1$

3 comments:

Minh NguyenJune 1, 2021 at 10:43 AM
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Minh NguyenJune 1, 2021 at 10:45 AM
A follow up question, show that $x^y+y^x > 1+xy$ for $x,y \in (0, 1)$
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