MathDB
Classic: 7 real numbers

Source: Canadian Mathematical Olympiad - 1984 - Problem 5.

June 26, 2011
trigonometryinequalitiesalgebra proposedalgebra

Problem Statement

Given any 77 real numbers, prove that there are two of them x,yx,y such that 0≤x−y1+xy≤130\le\frac{x-y}{1+xy}\le\frac{1}{\sqrt{3}}.
Back to ProblemsView on AoPS