# Thread: Prove y is less than or equal to z

1. Let $x,\,y,\,z,\,a,\,b$ be positive real such that $xa+yb\le ya+zb\le za+xb$.

Prove that $y\le z$.

2. Originally Posted by anemone
Let $x,\,y,\,z,\,a,\,b$ be positive real such that $xa+yb\le ya+zb\le za+xb$.

Prove that $y\le z$.

Thanks for participating, Albert!

Solution of other: