1. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 2.2, Slide 1 Set Theory 2 Using Mathematics to Classify Objects

2. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 2.2, Slide 2 Comparing Sets2.2 Determine when sets are equal Know the difference between the relations of subset and proper subset Use Venn diagrams to illustrate set relationships (continued on next slide)

3. Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 2.2, Slide 3 Comparing Sets2.2 Determine the number of subsets of a given set Distinguish between the ideas of “equal” and “equivalent” sets

4. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 2.2, Slide 4 Set Equality and Subsets

5. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 2.2, Slide 5 Venn Diagrams and Proper Subsets A Venn diagram is used to visualize relationships among sets.

6. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 2.2, Slide 6 Venn Diagrams and Proper Subsets How many subsets exist for the given set?

7. Copyright © 2014, 2010, 2007 Pearson Education, Inc.Section 2.2, Slide 7 Equivalent Sets The sets {1, 2, 3} and {A, B, C} are equivalent because they both have 3 members.