Let a,b,c be positive real numbers satisfying a+b+c=2. Prove the inequality 11+ab+11+bc+11+ca≥2713
Source: Swiss IMO TST 2003
Tags: inequalities, inequalities proposed
Let a,b,c be positive real numbers satisfying a+b+c=2. Prove the inequality 11+ab+11+bc+11+ca≥2713