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Union and Intersection
Sets Union and Intersection
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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
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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.
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Using the following sets create a Venn Diagram
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Number Sets Set A = {3,6,9,12,15} Set B = {2,4,6,8,10,12,14}
Set C = {5,10,15}
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Set A {3,6,9,12,15} Set B Set C {2,4,6,8,10,12,14} {5,10,15}
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Set A 3, 9 15 6,12 2,4,8,14 10 5 Set B Set C
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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
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Using the number sets from before find the following:
1. A B = 2. A B = 3. A C = 4. B C = 5.ABC = 6.ABC =
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AB= AB= AC= BC= ABC= ABC= {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}
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Key Points Set Notations Venn Diagrams Union Intersection Empty Set
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