Sets, Unions, Intersections, and Complements

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Presentation transcript:

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

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

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

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

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

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