2. Given the relationship: (A B)c (A C)c

a. Simplify the expression. Provide a rule for each simplification step you take

. b. Provide a Venn diagram, shading the region that shows the relationship.

3. Given the following sets: A = {1, 2, 3,4}; B = {4, 5}; C = {3,4,5} = {1, 2, 3, 4, 5, 6, 7} USE SET NOTATION TO ANSWER THE FOLLOWING QUESTIONS. SHOW YOUR WORK!

a. List the elements in the set A U Bc b. List the elements in the set B (A U C)c

c. List all possible subsets of A . d. Are A and C disjoint? Explain why or why not. e. Is B a subset of A? Explain why or why not.