Let U = {a,b,c,d,e,f,g}, A={a,d,e,f}, and B = {b,e,g} be sets, where U acts as the universal set. Determine the following a. (A U B)' b. A B c. A - B d. B - A Let U be the set of all students in a college. Let A be the set of students taking the discrete mathematics course and B the set of students taking the calculus course. Describe the following: a. A U B b. B A c. A - B d. B - A e. A'

Let A and B be subsets of the set U. Draw the Venn diagram of the following sets a. (A U B)' b. (A B )' c. A B d. (A U B) - (A B ) Let A and B be subsets of the set U. Draw the Venn diagram of the following sets a. (A U B)' b. (A B )' c. A B d. (A U B) - (A B ) A is the set of people who go to a resort area for vacation, B is the set of people who take a cruise for vacation, and C is the set of people who go to a national park for vacation. The numbers in the figure represent the number of people in that region. Suppose that |A|=150, |B|=100, and |C|=300. a. How many people only go to a resort area for vacation? b. How many people only take a cruise for vacation? c. How many people only go to a national park for vacation? d. How many people either go to a resort area for vacation or take cruise for a vacation? d. How many people use one of the three methods to take a vacation?