• (a) (De Morgan's Laws). Let A and B be subsets of R. Verify the following: i. (ANB) = AC U Bº ii. (AUB) = An Bº (b) i. Show how induction can be used to conclude that (A, U AU... U An) = An An... for any finite ne N. ii. Explain why induction cannot be used to conclude that (um An) = n A iii. Is the statement in part (ii) above valid? Give either a proof or counterexample.
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