A. Construct a Venn diagram to represent your assigned problem. Include capital letter labels for all sets and indicate what each label represents.

B. Use the set notation symbols (∪,', ∩) and set labels from part A to express each of the following sets:

• elements in both Group 1 and Group 2

• elements in Group 2 but not Group 1

• elements in Group 1 or Group 2

• elements in neither Group 1 nor Group 2

C. Determine the cardinality of each of the following sets, including an explanation of the process for how you determined the cardinality:

• elements in both Group 1 and Group 2

• elements in Group 2 but not Group 1

• elements in Group 1 or Group 2

• elements in neither Group 1 nor Group 2

Problem

A marketing company asks 4,280 people about the soft drink flavors they like.

Let the following subsets be defined:

Group 1: the set of people who like cola

Group2: the set of people who like root beer

The result show that 3,012 of the people like cola and 2,143 like root beer. Among those who like cola, 2,070 do not like root beer.