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

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

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)

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

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

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.

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?

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.

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