1. The problem statement, all variables and given/known data If sup A<sup B, then show that there exists an element b[tex]\in[/tex]B that is an upper bound for A. 2. Relevant equations 3. The attempt at a solution This one is really frustrating me. I'm having trouble even beginning. I know sup A implies s[tex]\leq[/tex]b where c is an upper bound for A. Similarily sup B implies s[tex]\leq[/tex] d where d is an upper bound for B.