RMO 2016 Karnataka, Assam, Andhra Pradesh (except Telangana), West Bengal Region
Join Trial or Access Free ResourcesJoin Trial or Access Free ResourcesLet \( a, b, c \) be positive real numbers such that $$ \frac{a}{1+a} + \frac{b}{1+b} + \frac{c}{1+c} = 1 $$
Prove that \( abc \leq \frac{1}{8} \)
