How do I graph a lexicographic order?
A lexicographic function means $(a,b) ≤ (c,d)$ iff either
1) $a < c$
or
2) if $a=c$, then $b ≤ d$
So i want to graph the order determined by element $(c,d)$
What I've done so far is try to think of it through an example. so i let $(c,d)$ = $(4,7)$ so the values that work for $(a,b)$ are if $a<3$, b can be any value and if $a=4$, $b≤7$. Now I am not sure how to show this graphically.