Let S be the universal set where S 1 2 3 18 19 20 Let sets

Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S, where: Set A = {1, 5, 7, 11, 12, 14, 19, 20} Set B = {1, 4, 5, 7, 8, 10, 13, 14, 15, 19, 20} Find the following: LIST the elements in the set (A union B): (A union B) = Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set (A intersection B): Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE

Solution

We have AUB = {1,5,7,11,12,14,19,20} U { 1,4,5,7,8,10,13,14,15,19,20} = {1,4,5,7,8,10,11,12,13,14,15,19,20}. We have AB = {1,5,7,11,12,14,19,20} { 1,4,5,7,8,10,13,14,15,19,20} = { 1,5,7,14,19,20}.