Simple inequality with variables in [0,1]
Source: RMO 2008, Grade 8, Problem 3
April 30, 2008
inequalitiesalgebra
Problem Statement
Let . Prove that \frac 1{1\plus{}a\plus{}b} \leq 1 \minus{} \frac {a\plus{}b}2 \plus{} \frac {ab}3.
Source: RMO 2008, Grade 8, Problem 3