Hey guys, got stuck on this question while doing homework. I would appreciate any help. Let a,b exist in reals. Show that if a<=b1 for every b1 > b. then a <= b. I really got nowhere. I tried letting b1(n)=b+nE where E is a infinitesimal. Then a <= b+nE for all n. Don't really know how to use any axioms here either.