The document defines the complement of a set A as the elements in the universal set that are not in A. It provides examples of calculating complements of sets A and B where the universal set U contains numbers 1 through 9. The complement of A is the elements in U that are not in A, and the complement of the intersection of A and B is the universal set minus the intersection. The document also provides an example of the complement of the union of A and B being the single element 9.

1. Ms. G. Martin

2. The complement of a set A, denoted
by A, is the set of all elements in the
universal set which do not belong to A.

3. Study these examples.
Let U be the universal set.
U = {1, 3, 5, 6, 7, 8, 9}
A = {1, 3, 6, 8}
B = {5, 6, 7}
1. A’ = {5, 7, 9}
2. B’ = {1, 3, 8, 9}
3. (A ∩ B)’
= { 6 }’
= {1, 3, 5, 7, 8, 9}
4. (A U B)’
= {1, 3, 5, 6, 7, 8}’
= { 9 }
5. A’ ∩ B =
= {5, 7, 9} ∩ {5, 6, 7}
= {5, 7}

5. A’ = {8, 10, 13, 17}
B’ = {2, 19, 5}

6. Band ‘ = {Kyesha, Robin, Chris,
Shirley, Nathan, Dana}
Chorus’ = {Sam, Lorrie, Raul,
Chris, Shirley, Nathan, Dana}