Venn Diagrams/Set Theory Venn Diagram- A picture that illustrates the relationships between two or...
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Venn Diagrams/Set Venn Diagrams/Set Theory 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}
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Transcript of Venn Diagrams/Set Theory Venn Diagram- A picture that illustrates the relationships between two or...
Venn Diagrams/Set TheoryVenn 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. A rectangle is used to represent all the data. This is called the This is called the universal set. 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 ComplementsUnions, 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
A B
A B
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”
