MathDB
Moroccan MO

Source:

April 30, 2011
inequalitiesinequalities unsolved

Problem Statement

Let a,b,ca,b,c be three postive real numbers such that a+b+c=1a+b+c=1. Prove that 9abcab+ac+bc<1/4+3abc9abc\leq ab+ac+bc < 1/4 +3abc.