1. Recall the result that the union of two countable sets is countable. Let A and B be sets where B C A. Suppose A is un
Posted: Wed May 11, 2022 10:43 pm
1. Recall the result that the union of two countable sets is countable. Let A and B be sets where B C A. Suppose A is uncountable and B is countable. a. Prove that A - B is uncountable. b. As a corollary, prove that the set of irrational real numbers is uncountable.