I'm interested in proving the following inequality, given the following constraints. This is for personal gain, and not for homework. I'm not even sure if I can prove this without additional constraints. If you can solve it by adding constraints, please let me know what options I have for adding constraints.(adsbygoogle = window.adsbygoogle || []).push({});

Given:

0<a<1

x>0, y>0, z>0

x>y

Prove:[tex]\frac{x-y}{(1+x)(1+y)} < \frac{z*a}{1+y+z}[/tex]

Thanks so much for your help!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Proving a desired inequality

**Physics Forums | Science Articles, Homework Help, Discussion**