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# 12.1: Module 3 Overview

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## What You’ll Learn To Do: Describe set theory and perform operations.

### Learning Objectives

• Describe memberships of sets, including the empty set, using proper notation, and decide whether given items are members and determine the cardinality of a given set.
• Describe the relations between sets regarding membership, equality, subset, and proper subset, using proper notation.
• Perform the operations of union, intersection, complement, and difference on sets using proper notation.
• Be able to draw and interpret Venn diagrams of set relations and operations and use Venn diagrams to solve problems.
• Recognize when set theory is applicable to real-life situations, solve real-life problems, and communicate real-life problems and solutions to others.

### Learning Activities The learning activities for this module include: