Answer:
a) Set (A and B) = {2, 3, 4, 6, 11, 16, 19}
b) Set (A or B) = {1, 2, 3, 4, 5, 6, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20}
Step-by-step explanation:
Given:
S = {1,2,3, ... ,18,19,20) be the universal set
Set A = {2, 3, 4, 6, 11, 13, 15, 16, 19, 20}
Set B = {1, 2, 3, 4, 5, 6, 10, 11, 14, 16, 17, 18, 19}
To find:
a) the elements in Set A and Set B
b) the elements in set A or set B
a) Elements in set A and set B will include the numbers common to both sets
Set (A and B) = {2, 3, 4, 6, 11, 16, 19}
b) Elements in set A or set B will include the union of elements in set A and elements in set and any repetition will be written once
Set (A or B) = {1, 2, 3, 4, 5, 6, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20}