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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
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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:
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Unit 10 Logic and Venn DiagramsVenn Diagrams: Illustrating Sets
ABU
ABU
ABU
ABU
ABU
ABU
ABU
ABU
ABU
ABU
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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
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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
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