If S is an uncountable set and T is a countable subset of S. Show that cardinality of |S\T|= |S|.

S\T is a subset of S, so |S\T|<= |S|.

I was going to use the cantor-schroder-bernstein theorem, but i dont know how to proof that |S\T|=> |S|.

If there is other ways to proof this, please post it.

Any help would be nice.

Thanks in advance