Union and Intersection

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Presentation transcript:

Union and Intersection Sets Union and Intersection

Notation { } Ex. Set A={2,4,6,8,10,12,…} - infinite set (never ends) Ex. Set B={2,4,6,8,10,12} - finite set (has a certain amount) Ex. Set C={…,2,4,6,8,10,12,…} - infinite set

Venn Diagrams Used to visually represent sets of data An organization of data using overlapping circles Data gathered in sets Sets can be made up of numbers, amounts, etc.

Using the following sets create a Venn Diagram

Number Sets Set A = {3,6,9,12,15} Set B = {2,4,6,8,10,12,14} Set C = {5,10,15}

Set A {3,6,9,12,15} Set B Set C {2,4,6,8,10,12,14} {5,10,15}

Set A 3, 9 15 6,12 2,4,8,14 10 5 Set B Set C

Symbols  - Union  - Intersection Ø – empty set The following symbols can be used with Venn Diagrams and Sets  - Union Numbers that are in either or and both Every number listed in order once  - Intersection Numbers that are in both Ø – empty set A set with no values

Using the number sets from before find the following: 1. A  B = 2. A  B = 3. A  C = 4. B  C = 5.ABC = 6.ABC =

AB= AB= AC= BC= ABC= ABC= {6,12} {10,15} {2,3,4,6,8,9,10,12,14,15} {10,15} {2,4,5,6,8,10,12,14,15} Ø {2,3,4,5,6,8,9,10,12,14,15}

Key Points Set Notations Venn Diagrams Union Intersection Empty Set