Prentice Hall Algebra 1

3-8 Unions and Intersections of Sets

Objective

To find the unions and intersections of sets

Solve it: Max says, “Which club would you join? Would you join more than 1?”
Image Long Description

Certain regions of the Venn diagram in the Solve It show unions and intersections of sets.

Essential Understanding Given two or more sets, you can describe which elements belong to at least one set. You can also describe which elements belong to all of the sets. You use symbols to represent these relationships.

The union of two or more sets is the set that contains all elements of the sets. The symbol for union is union .  To find the union of two sets, list the elements that are in either set, or in both sets. An element is in the union if it belongs to at least one of the sets. In the Venn diagram below, eh union b  is shaded.

A Venn diagram with 2 circles A and B is placed within the Universal Set U. Both circles are shaded, as is the region of overlap. A label pointing to the 2 circles reads “the union of A and B.


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Table of Contents

Prentice Hall Algebra 1 Chapter 1 Foundations for Algebra Chapter 2 Solving Equations Chapter 3 Solving Inequalities Chapter 4 An Introduction to Functions Chapter 5 Linear Functions Chapter 6 Systems of Equations and Inequalities Chapter 7 Exponents and Exponential Functions Chapter 8 Polynomials and Factoring Chapter 9 Quadratic Functions and Equations Chapter 10 Radical Expressions and Equations Chapter 11 Rational Expressions and Functions Chapter 12 Data Analysis and Probability Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments