Question 671930
Let T be a set. Show that |T|> |S|. Let n = |S| and likewise let m = |T|. Note that the cardinality of the reals is uncountably infinite, then the cardinality of S is also uncountably infinite. We want to construct a set such that for some element e, that is not in S, it exists in T. Then there is no longer a one-to-one correspondence between S and T. Since T has one more element than S, then |T| > |S|.