2.4 2.5 If A and B are two sets, draw Venn diagrams to verify the following: a A = (ANB) U (ANB). b If B C A then A = BU

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2 4 2 5 If A And B Are Two Sets Draw Venn Diagrams To Verify The Following A A Anb U Anb B If B C A Then A Bu 1 (23.76 KiB) Viewed 126 times

2.4 2.5 If A and B are two sets, draw Venn diagrams to verify the following: a A = (ANB) U (ANB). b If B C A then A = BU (ANB). Refer to Exercise 2.4. Use the identities A = An S and S = BU B and a distributive law to prove that a A = (ANB) U (ANB). b If B C A then A = BU (ANB). c Further, show that (AB) and (ANB) are mutually exclusive and therefore that A is the union of two mutually exclusive sets, (ANB) and (ANB). d Also show that B and ( AB) are mutually exclusive and if BCA, A is the union of two mutually exclusive sets, B and ( AB).