# Math Help - Proving Inequalities

1. ## Proving Inequalities

Hello I am new to this site, and I have to learn LaTex so please bare with me. Prove that if x,y >= 0, then . Thanks in advance.

2. ## Re: Proving Inequalities

The side condition should be x, y ≥ 1. Show that $y\sqrt{x-1}\le xy/2$ and $x\sqrt{y-1}\le xy/2$.

3. ## Re: Proving Inequalities

My sincerest apologies, the If statement should read x, y >= 1.

4. ## Re: Proving Inequalities

My apologies for being unprofessional and not employing LaTex. I am in the process of trying to figure LaTex out. At any rate, y*sqrt(x-1) + x*sqrt(y-1) < = (less than or equal) xy.

5. ## Re: Proving Inequalities

So, did the hint in post #2 help?