olymmath

RMM 2016 Problem 4

  • Day 2

Let xx and yy be positive real numbers such that x+y2016≥1x+y^{2016} \geq 1. Prove that x2016+y>x^{2016}+y> 1 - 1/100.

Dataset text NuminaMath olympiads. Quoted with source.

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