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
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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
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.
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