Answer Happy

PROBLEM 1. (20 points, 10 points each) Given set expressions, indicate which area(s) should be shaded, if any, on given Venn diagrams. a) (A'UB) n (AUC)' U #8 U A #8 #5 b) A' - B - C' A #3 #5 #3 #2 #1 #7 C #2 #1 #7 C #4 #4 B #6 B #6 Solution: area(s). Solution: area(s)
PROBLEM 2. (20 points, 10 points each) Write down the power sets of the following sets and find cardinalities: a) B={{a} p(B)= What is the cardinality of set B? What is the cardinality of set 2(B)? b) C={{}} p(C)= { What is the cardinality of set C? What is the cardinality of set p(C)? (2 points) (2 points) (2 points) (2 points) }(6 points) _} (6 points)
PROBLEM 3. (20 points) Is this a power set of some set A? If so, find that set A. Explain your answer (possible or impossible; and if it is possible - how you "restored" set A and how to check whether it is correct). p(A) = }, {{a}, {ak}}, {{a}}, {{ab},{a}},{{ak}}} A= =