# Math Help - Order relations

1. ## Order relations

A, B are order relations.
I need help in proving that if A, B are linear ordered sets, then AxB is also a linear ordered set
and if A, B are well ordered sets, then AxB is also a well ordered set.

Thanks!

2. Originally Posted by rebecca
A, B are order relations.
I need help in proving that if A, B are linear ordered sets, then AxB is also a linear ordered set
and if A, B are well ordered sets, then AxB is also a well ordered set.

Thanks!
What order do you think should be defined on $A\times B$?

3. Here is a hint: Lexicographic Ordering