5. Consider the operation a * b = |b|. a) Is this a binary operation on the set S = R? Justify your answer. b) Is this a binary operation on the set S = {–4,–3, –1, 1,2,3,4}? Justify your answer.

TRUE (c) The union of two sets, A and B, is the set of all elements in A and B. FALSE

Let A = {Becca, Darius, Julian, Larry, Solly, Bess}, B = {Larry, Solly, Darius}, and C = {Mellie, Sally, Molly, Jeffrey, Larry}. Find the given set. (An B) UC Step 1 We are given the following sets. Our goal is to find the set (A n B) U C. Therefore, we will use all three sets all three sets to determine our answer. We will start by finding An B which is the intersection of A and B. Recall that the intersection of A and B is a set of all elements that are common to both sets. Determine which of the following elements should be included in the set A n B. That is, determine which of these elements are in both A and B. (Select all that apply.) ооооооо Becca Bess Darius Jeffrey Julian A = {Becca, Darius, Julian, Larry, Solly, Bess} B = {Larry, Solly, Darius} C = {Mellie, Sally, Molly, Jeffrey, Larry} Larry Mellie Molly Sally Solly