Sets Answer the following questions for each problem. Suppose U-{x: x is a positive integer less than 20}, A= {x: x is a multiple of 5} and B = {x: x is an even number}.
(a) What are the cardinality of U, A, and B?
(b) Construct the above information in a Venn diagram. (c) Find n(AB) and n(AUB).
(d) Establish the relation among n(A), n(B), n(AB) and n(AUB).
(e) Are AUB and B UA equal? Give reason.
