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
Posted: Sun Oct 03, 2021 3:13 pm
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).