MathDB

Nice inequality

Source: RMM 2016, Problem 4

February 28, 2016

algebrainequalitiesRMMRMM 2016

Problem Statement

Let

x

and

y

be positive real numbers such that:

x+y^{2016}\geq 1

. Prove that

x^{2016}+y> 1-\frac{1}{100}