**Problem of the Week**

**BUGCAT**

**Zassenhaus Conference**

**Hilton Memorial Lecture**

**BingAWM**

**Math Club**

pow:problem6f22

Problem 6 (due on Monday, November 21)

Prove that the inequality \[ \prod_{i=1}^n\prod_{j=1}^n\left(1+|a_i+a_j|\right)\geq \prod_{i=1}^n\prod_{j=1}^n\left(1+|a_i-a_j|\right)\] holds for any real numbers $a_1,\ldots,a_n$.

We have not received any solutions. For a detailed solution and some related problems see the following link Solution.

pow/problem6f22.txt · Last modified: 2022/11/23 00:49 by mazur

Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Noncommercial-Share Alike 3.0 Unported