I am doing a past paper, and one of the question is:
Let $A = ${$cat, dog, mouse, bird$}, and let $R$ be the binary relation on $A$ given by:
$R = ${($x, y$): $x$ and $y$ have no letter in common}.
Draw $R$
I have a limited understanding of relations (after watching videos and reading books on reflexive, symmetric, transitive properties), but all the past papers I have ask me to draw a relation and I have no idea how where to start, and can not seem to find any simple resources. Please could someone guide me on this.
Edit (my attempt):
$\{ (cat, dog), (mouse, bird), (bird, cat), (cat,mouse) \}$
Every pair has no letter in common, can you see it ?