1. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 2.3, Slide 1 Set Theory 2 Using Mathematics to Classify Objects

2. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 2.3, Slide 2 Set Operations2.3 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. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 2.3, Slide 3 Set Operations2.3 Use Venn diagrams to prove or disprove set theory statements Calculate the cardinal number of the union of two sets

4. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 2.3, Slide 4 Union of Sets Example: Find the union of the two sets.

5. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 2.3, Slide 5 Intersection of Sets Example: Find the intersection of the two sets.

6. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 2.3, Slide 6 Set Complement Example: Given U, find the complement of A.

7. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 2.3, Slide 7 Set Difference Example: Find the difference.

8. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 2.3, Slide 8 Order of Set Operations Example: Let

9. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 2.3, Slide 9 Order of Set Operations Intersection distributes over union.

10. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 2.3, Slide 10 Order of Set Operations