We consider n real variables xi(1≤i≤n), where n is an integer and n≥2. The product of these variables will be denoted by p, their sum by s, and the sum of their squares by S. Furthermore, let α be a positive constant. We now study the inequality ps≤Sα. Prove that it holds for every n-tuple (xi) if and only if α=2n+1 inequalitiesinequalities unsolved