1. Set Theory Using Mathematics to Classify Objects 2 © 2010 Pearson Education, Inc. All rights reserved.

2. Set Operations © 2010 Pearson Education, Inc. All rights reserved.Section 2.3, Slide 2 2.3 Perform the set operations of union, intersection, complement, and difference Understand the order in which to perform set operations Know how to apply DeMorgan’s laws in set theory (continued on next slide)

3. Set Operations © 2010 Pearson Education, Inc. All rights reserved.Section 2.3, Slide 3 2.3 Use Venn diagrams to prove or disprove set theory statements Calculate the cardinal number of the union of two sets

4. © 2010 Pearson Education, Inc. All rights reserved.Section 2.3, Slide 4 Union of Sets Example: Find the union of the two sets.

5. © 2010 Pearson Education, Inc. All rights reserved.Section 2.3, Slide 5 Intersection of Sets Example: Find the intersection of the two sets.

6. © 2010 Pearson Education, Inc. All rights reserved.Section 2.3, Slide 6 Set Complement Example: Given U, find the complement of A.

7. © 2010 Pearson Education, Inc. All rights reserved.Section 2.3, Slide 7 Set Difference Example: Find the difference.

8. © 2010 Pearson Education, Inc. All rights reserved.Section 2.3, Slide 8 Order of Set Operations Example: Let

9. © 2010 Pearson Education, Inc. All rights reserved.Section 2.3, Slide 9 Order of Set Operations Intersection distributes over union.

10. © 2010 Pearson Education, Inc. All rights reserved.Section 2.3, Slide 10 Order of Set Operations