MathDB
Romanian National Olympiad 2018 - Grade 11 - problem 3

Source: Romania NMO - 2018

April 7, 2018

Problem Statement

Let f:R→Rf: \mathbb{R} \to \mathbb{R} be a function with the intermediate value property. If ff is injective on R∖Q,\mathbb{R} \setminus \mathbb{Q}, prove that ff is continuous on R.\mathbb{R}.
Julieta R. Vergulescu
Back to ProblemsView on AoPS