# Math Help - relations

1. ## relations

R = {(a,b)/ a>b} on the set of positive integers.

Find the smallest relation that is both reflexive and symmetric...

Is it...

R={ (a,b)/ a>=b} or is it wrong?

2. Originally Posted by robocop_911
R = {(a,b)/ a>b} on the set of positive integers. Find the smallest relation that is both reflexive and symmetric...
I have absolutely no idea what "smallest" could possibly mean in this context.
But here is a very simple one: $E = \left\{ {\left( {x,y} \right)|x = y} \right\}$.