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Venn Diagrams

Venn Diagrams. Sets, Unions, Intersections, and Complements. Vocabulary Universe Element Set Subset Disjoint Mutually Exclusive Finite. Intersection Union Compliment A Priori Empty Set Ad Hoc Infinite. Venn Diagrams. A. B. Venn Diagrams. What can you say about A and B?

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Venn Diagrams

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

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

  3. A B 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

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

  5. B A C 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.

  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

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