1. Operations on Sets 1MPES2 Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 14.09.2015 http://creativecommons.org/licences/by/3.0/ Attribute to: Pierre Marchal (Jean-Piaget High School)

2. Objectives of the course By the end of the course, you should be able to: – Know the 3 ways of describing a set – Know the operations on sets – Perform the operations on sets

3. Descriptions of a Set (1) A set is a You already know :,,, and There are 3 ways of describing a set: – (word description) – (list of numbers in brackets) collection of different objects Extensional description Intentional description

4. Descriptions of a Set (2) – (Venn diagram) Diagram description A B 1 3 5 2

5. Operations on Sets (1) 3 operations are defined on sets: – – Union Intersection noted A B A B A B A B

6. Operations on Sets (2) – – Exercise : Give the extensional description of: noted Relative complement A B A B A B 1 3 5 2 for A\B read: relative complement of B in A

7. EXERCISES

8. Exercise n° 3 p. 5

9. Exercise n° 4 p. 5

10. Exercise n° 5 p. 6 1- Name sets 2- Define intersection 3- Define relative complement 4- Define the rest (if any) 2 24 16 Choir Band 8 Class

11. Exercise n° 6 p. 6 1- Name sets 2- Define intersection 3- Define relative complement 4- Define the rest (if any) 60 140 25 Band Sport 95 School

12. Exercise n° 7 p. 6 1- Name sets 2- Define intersection 3- Define relative complement 4- Define the rest (if any) 4 5 7 Dogs Cats 5 Clients Fish 3 1 0 1

13. Homework for next lesson Exercises 6 and 7 p. 6

14. By the end of this course You are able to: – Know 3 ways of describing a set – Know the operations on sets – Perform the operations on sets

15. THANK YOU FOR YOUR ATTENTION See you next Thursday, please learn your lesson !