Venn Diagrams/Set Theory   Venn Diagram- A picture that illustrates the relationships between two or more sets { } are often used to denote members of.

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Presentation transcript:

Venn Diagrams/Set Theory   Venn Diagram- A picture that illustrates the relationships between two or more sets { } are often used to denote members of a set   For example, the positive, single digit, even numbers are {2,4,6,8}   Set – A collection of distinct objects. Each object of the set is called an element or member of the set.   For example, the set A of positive even numbers less than 20 can be written A = {2,4,6,8,10,12,14,16,18}

 A rectangle is used to represent all the data. This is called the universal set.  A rectangle is used to represent all the data. This is called the universal set. It is written as U.   An empty set is the set with no elements and is written as   There are a variety of ways to show that sets can be related to one another:

Unions, Intersections, and Complements Unions, Intersections, and Complements   The union of two sets A and B is the set of all elements in either A or B, and is written   The intersection of two sets A and B is the set of all elements in both A and B and is written

  The complement of a set A is the set of all elements in U that are not in A and is written ~A   Complements may also be written as A’ “A prime”