SE-SKOLORNAS 1978 Problem 1

Let $a,b,c,d$ be real numbers such that $a>b>c>d\geq 0$ and $a + d = b + c$ . Show that $x^a + x^d \geq x^b + x^c$ for $x>0$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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