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Sets

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

gertrude-lehmann
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Sets

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  1. Sets Union and Intersection

  2. 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

  3. 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.

  4. Using the following sets create a Venn Diagram

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

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

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

  8. Symbols • 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

  9. 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 =

  10. AB= • AB= • AC= • BC= • ABC= • ABC= {6,12} {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}

  11. Key Points • Set Notations • Venn Diagrams • Union • Intersection • Empty Set

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