MathDB

inequality

Source:

January 31, 2016

inequalitiesInequality

Problem Statement

For all

x \geq 2

y \geq 2

real numbers, prove that

x(\frac{4x}{y-1}+\frac{1}{2y+x})+y(\frac{y}{6x-9}+\frac{1}{2x+y}) > \frac{26}{3}