1. Set Theory: Using Venn Diagrams Universal Set (U): the set of all elements under consideration. www.onlinemathlearning.com/universal-set.com #1) U = {prime numbers less than 21}: {2,3,5,7,11} A = {odd prime numbers <21}: {3,5,7,11} A’ = #2) U = {Multiples of 5 that are <50}: U = {5,10,15,20,25,30,35,40,45} A = {mult. of 10 that are <50}: {10,20,30,40} A’ =

2. Set Theory: Using Venn Diagrams AB Intersection: A B = U: Universal Set

3. Set Theory: Using Venn Diagrams Universal Set or complement of (A ∩ B) noted as (A ∩ B)’ U: Universal Set

4. Set Theory: Using Venn Diagrams AB Union: A U B = and U: Universal Set

5. Set Theory: Using Venn Diagrams Universal Set or complement of (A U B) noted as (A U B)’ U: Universal Set

6. Set Theory: Using Venn Diagrams Complement of A = A’ U: Universal Set A B

7. Set Theory: Using Venn Diagrams Complement of B = B’ U: Universal Set B A

8. Set Theory: Using Venn Diagrams B A Empty Set / Disjoint Sets U: Universal Set

9. Set Theory: Using Venn Diagrams U: Universal Set A B Subset: A B

10. Set Theory: Using Venn Diagrams U: Universal Set B A Subset: B A

11. Assignment: –Number your paper 1-9. –Write the relationship that you see at each problem – use set notation!!! –Remember that it is quiet in a museum!!!! Set Theory: Using Venn Diagrams

12. Handout “Venn Diagrams WS” (1-3) (half-sheet) and work problems together…

13. Set Theory: Using Venn Diagrams from the Venn Diagram WS (1-3) (half sheet) Gym class = 24 students

14. Set Theory: Using Venn Diagrams from the Venn Diagram WS (1-3) (half sheet) Gym class = 24 students

15. Set Theory: Using Venn Diagrams from the Venn Diagram WS (1-7) (dog on back) 50 students Chorus still has 18 and Band still has 26 students. C U B = C D = Students not enrolled in chorus or band =

16. Set Theory: Using Venn Diagrams 320 students SB S U B = S B = Students not enrolled in chorus or sports =

17. Set Theory: Using Venn Diagrams 30 students30 students FrenchFrench SpanishSpanish Students enrolled in French only Latin

18. Set Theory: Using Venn Diagrams 32 students32 students Cat Dog Bird

19. Homework: Venn Diagram word problem worksheet. Set Theory: Using Venn Diagrams