CST 504 Venn Diagrams
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The document is a series of presentations on Venn diagrams that progress from basic examples to more complex theoretical examples. Presentation 1 provides a simple example of using a Venn diagram to illustrate sets. Presentation 2 defines key terms used in Venn diagrams like intersection, union, complement, and subset. Presentation 3 demonstrates how to illustrate sets using Venn diagrams. Presentation 4 provides a theoretical example requiring identifying the shaded region of a Venn diagram. Presentation 5 gives a practical example using natural numbers to demonstrate sets of even, prime, and other numbers.
CST 504 Venn Diagrams
- 1. Presentation 1 Venn Diagrams: Example Presentation 2 Venn Diagrams: Key Definitions Presentation 3 Venn Diagrams: Illustrating Sets Presentation 4 Venn Diagrams: Theoretical Example Presentation 5 Venn Diagram: Practical Example
- 3. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and Solution: Use a Venn diagram
- 4. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and A B 4 is in BOTH sides 4
- 5. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and A B 7 and 9 are only in set A 4 7 9
- 6. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and A B 1, 2, 3 and 5 are only in set B 4 7 9 1 2 3 5
- 7. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and A B 0, 6 and 8 are not in A or B 4 7 9 1 2 3 5 0 6 8
- 8. You have finished viewing the presentation Venn Diagrams: Example Please choose an option Return to the Start Presentation 2 Venn Diagrams: Key Definitions Presentation 3 Venn Diagrams: Illustrating Sets Presentation 4 Venn Diagrams: Theoretical Example Presentation 5 Venn Diagram: Practical Example
- 9. Venn Diagram: Key Definitions
- 10. A B Intersection: Members of both set A and set B
- 11. A B Union: Members of set A or set B or both
- 12. Complementary: Members not in the set A A’
- 13. Universal Set: All members U
- 14. A B Subset: All members of set A are in set B
- 15. Number of elements in a set: Empty set:
- 16. You have finished viewing the presentation Venn Diagrams: Key Definitions Please choose an option Return to the Start Presentation 1 Venn Diagrams: Example Presentation 3 Venn Diagrams: Illustrating Sets Presentation 4 Venn Diagrams: Theoretical Example Presentation 5 Venn Diagram: Practical Example
- 17. Venn Diagrams: Illustrating Sets
- 18. A B U
- 19. A B U
- 20. A B U
- 21. A B U
- 22. A B U
- 23. A B U
- 24. A B U
- 25. A B U
- 26. A B U
- 27. A B U
- 28. You have finished viewing the presentation Venn Diagrams: Illustrating Sets Please choose an option Return to the Start Presentation 1 Venn Diagrams: Example Presentation 2 Venn Diagrams: Key Definitions Presentation 4 Venn Diagrams: Theoretical Example Presentation 5 Venn Diagram: Practical Example
- 29. Venn Diagrams: Theoretical Example
- 30. A B U What is the shaded region?
- 31. A B U What is the shaded region?
- 32. A B U What is the shaded region?
- 33. A B U What is the shaded region? C )CA(B ∪∩
- 34. A B U What is the shaded region? C )'CBA( ∪∪
- 35. A B U What is the shaded region? C )B'C(A ∪∪
- 36. You have finished viewing the presentation Venn Diagrams: Theoretical Example Please choose an option Return to the Start Presentation 1 Venn Diagrams: Example Presentation 2 Venn Diagrams: Key Definitions Presentation 3 Venn Diagrams: Illustrating Sets Presentation 5 Venn Diagrams: Practical Example
- 37. Venn Diagram: Practical Example
- 38. U = {Natural Numbers less than 16} Describe set A and set B A = {Even Numbers} B = {Prime Numbers} A B 4 10 14 6 12 8 2 13 5 7 3 11 1 15 9 U
- 39. U 28 20 14 16 26 12 18 24 30 10 25 15 21 27 13 19 11 29 17 Describe 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} C BA 22 23
- 40. You have finished viewing the presentation Venn Diagrams: Practical Example Please choose an option Return to the Start Presentation 1 Venn Diagrams: Example Presentation 2 Venn Diagrams: Key Definitions Presentation 3 Venn Diagrams: Illustrating Sets Presentation 4 Venn Diagrams: Theoretical Example