MathDB
IMO Longlist 1989 Inequality

Source: IMO Longlist 1989, Problem 92

September 18, 2008
inequalitiesinequalities unsolved

Problem Statement

Prove that a<b a < b implies that a^3 \minus{} 3a \leq b^3 \minus{} 3b \plus{} 4. When does equality occur?