1. Sets, Unions, Intersections, and Complements
Venn Diagrams
Sets, Unions, Intersections, and Complements

2. Venn Diagrams Vocabulary Intersection Universe Union Element
Compliment
A Priori
Empty Set
Ad Hoc
Infinite
Vocabulary
Universe
Element
Set
Subset
Disjoint
Mutually Exclusive
Finite

3. Venn Diagrams What can you say about A and B? A Ç B = Æ A È B = {A, B}
A and B are mutually exclusive or disjoint A B

4. Venn Diagrams What can you say about A and B? A Ç B = A È B = A’ Ç B =

5. Venn Diagrams What can you say about A, B, and C? A Ç B = A È B =
A Ç C = A È C =
B Ç C = B È C =
A’ Ç B = A’ È B =
A Ç B’ = A È B’ = Etc. B A C

6. Number sets Digits: D = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
Counting numbers: N = {1, 2, 3, …}
Whole numbers: W = {0, 1, 2, …}
Integers: Z = {…, -2, -1, 0, 1, 2, …}
Rational numbers: Q = a/b, b  0, a, b  Z
Irrational numbers: ~Q = , e, √2, etc.
Real numbers: R = Q + ~Q