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Unit 10 – Logic and Venn Diagrams Presentati on 1 Venn Diagrams: Example Presentati on 2 Venn Diagrams: Key Definit ions Presentati on 3 Venn Diagrams: Illustratin g Sets Presentati on 4 Venn Diagrams: Theoretical Example

# Math unit10 logic and venn diagrams

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• Unit 10 Logic and Venn Diagrams

Presentation 1Venn Diagrams: ExamplePresentation 2Venn Diagrams: Key DefinitionsPresentation 3Venn Diagrams: Illustrating SetsPresentation 4Venn Diagrams: Theoretical ExamplePresentation 5Venn Diagram: Practical Example

• Unit 10 Logic and Venn DiagramsVenn Diagram: Example

• Using the numbers 0, 1, 2, , 9 illustrate the sets: and

Solution: Use a Venn diagram

• Using the numbers 0, 1, 2, , 9 illustrate the sets: and

AB4 is in BOTH sides4

• Using the numbers 0, 1, 2, , 9 illustrate the sets: and

AB7 and 9 are only in set A479

• Using the numbers 0, 1, 2, , 9 illustrate the sets: and

AB1, 2, 3 and 5 are only in set B4791235

• Using the numbers 0, 1, 2, , 9 illustrate the sets: and

AB0, 6 and 8 are not in A or B4791235068

• You have finished viewing the presentationVenn Diagrams: Example

Return to the StartPresentation 2Venn Diagrams: Key DefinitionsPresentation 3Venn Diagrams: Illustrating SetsPresentation 4Venn Diagrams: Theoretical ExamplePresentation 5Venn Diagram: Practical Example

• Unit 10 Logic and Venn DiagramsVenn Diagram: Key Definitions

• ABIntersection: Members of both set A and set B

• ABUnion: Members of set A or set B or both

• Complementary: Members not in the setAA

• Universal Set: All membersU

• AB

Subset: All members of set A are in set B

• Number of elements in a set:

Empty set:

• You have finished viewing the presentationVenn Diagrams: Key Definitions

Return to the StartPresentation 1Venn Diagrams: ExamplePresentation 3Venn Diagrams: Illustrating SetsPresentation 4Venn Diagrams: Theoretical ExamplePresentation 5Venn Diagram: Practical Example

• Unit 10 Logic and Venn DiagramsVenn Diagrams: Illustrating Sets

• ABU

• ABU

• ABU

• ABU

• ABU

• ABU

• ABU

• ABU

• ABU

• ABU

• You have finished viewing the presentationVenn Diagrams: Illustrating Sets

Return to the StartPresentation 1Venn Diagrams: ExamplePresentation 2Venn Diagrams: Key DefinitionsPresentation 4Venn Diagrams: Theoretical ExamplePresentation 5Venn Diagram: Practical Example

• Unit 10 Logic and Venn DiagramsVenn Diagrams: Theoretical Example

• ABUWhat is the shaded region?

• ABUWhat is the shaded region?

• ABUWhat is the shaded region?

• ABUWhat is the shaded region?C

• ABUWhat is the shaded region?C

• ABUWhat is the shaded region?C

• You have finished viewing the presentationVenn Diagrams: Theoretical Example

Return to the StartPresentation 1Venn Diagrams: ExamplePresentation 2Venn Diagrams: Key DefinitionsPresentation 3Venn Diagrams: Illustrating SetsPresentation 5Venn Diagrams: Practical Example

• Unit 10 Logic and Venn DiagramsVenn Diagram: Practical Example

• U = {Natural Numbers less than 16}Describe set A and set BA = {Even Numbers}B = {Prime Numbers}410146128213573111159U

• U28201416261218243010251521271319112917Describe Sets U, A, B and C U = {10,11,12,13,14,........29,30}A = {Even Numbers}B = {Multiples of 3}C = {Multiples of 5}CBA2223

• You have finished viewing the presentationVenn Diagrams: Practical Example

Return to the StartPresentation 1Venn Diagrams: ExamplePresentation 2Venn Diagrams: Key DefinitionsPresentation 3Venn Diagrams: Illustrating SetsPresentation 4Venn Diagrams: Theoretical Example ##### Module SC Sets, Venn Diagrams & Counting - Arizona … · 2011-01-05 · MAT 142 College Mathematics Module SC Sets, Venn Diagrams & Counting ... 4 Sets, Venn Diagrams & Counting
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