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3. (a) (De Morgan's Laws). Let A and B be subsets of R. Verify the following: i. (An B)° = AC U Bº ii. (AUB)° = An Bº (b
Posted: Tue Sep 07, 2021 7:08 am
by answerhappygod
- 3 A De Morgan S Laws Let A And B Be Subsets Of R Verify The Following I An B Ac U Bo Ii Aub An Bo B 1 (97.28 KiB) Viewed 88 times
3. (a) (De Morgan's Laws). Let A and B be subsets of R. Verify the following: i. (An B)° = AC U Bº ii. (AUB)° = An Bº (b) i. Show how induction can be used to conclude that (A1 U A2 U... U An) = A nA n... NAM for any finite n E N. ii. Explain why induction cannot be used to conclude that (um=1 An)° = n=AM. iii. Is the
statement in part (ii) above valid? Give either a proof or counterexample.