using a formula to make a statement with the use of greater than, less than symbol I am trying to make statement using the greater than less, less than symbol. I am unsure if the use of $\lt\gt$ symbols have to facing the same direction in an equation. 
Could you say:
$x \lt x + y \gt y$
would this mean that $x$ is less than $x+y$ and also $y \lt x+y$
I'm going to use this for the engraving in my (future) husband wedding band. Just trying to say that we are better together. Hope this makes sense! 
Thank you!!!

You are correct in that the interpretation of $x<x+y>y$ would be $x<x+y$ and $y<x+y$. This isn't the usual way such a thing is notated - sometimes people write both equations, and sometimes people write $x,y<x+y$. Still, personally I think $x<x+y>y$ has a satisfying symmetry which $x,y<x+y$ doesn't have. 
And of course, congratulations!
