# Ch 22: Algebra II: Sets

### About This Chapter

## Algebra II: Sets - Chapter Summary and Learning Objectives

Now that you've finished our chapter on sequences and series, get ready to study sets. Whether you're using these lessons to review power set notation or would like to examine this topic for the first time, our experienced instructors can help you define key terms and explore the steps involved in working with these collections of elements and their subsets.

Lesson content is delivered in the form of short videos lasting between five and ten minutes each. You can view them as many times as you'd like. Self-assessment quizzes are also available to give you immediate feedback at any point during your studies.

Use these resources to get a firm grasp of the concepts associated with sets, and prepare to tackle combinations and permutations in the lessons to come. By the time you reach the end of this chapter, you should be familiar with the following:

- Definitions of sets and subsets
- Orders of power sets
- Uses of set builder notation

Video | Objectives |
---|---|

Introduction to Groups and Sets in Algebra | Discover what a set is. Explore the uses of sets, and learn to identify set notation. |

Recognizing Power Sets in Algebra | Explain how a set's subsets are represented by a power set. Learn to identify the number of members in a power set. |

How to Write Sets Using Set Builder Notation | Examine the uses of set builder notation to describe set properties. Practice building sets of your own. |

### 1. Introduction to Groups and Sets in Algebra

As an introduction to the algebraic concepts of sets and groups, this lesson covers the difference between the two concepts and how to determine if a set is a group. To complete this lesson, we'll take a look at some practice examples.

### 2. Recognizing Power Sets in Algebra

This lesson will give students a very brief introduction to sets and subsets as a lead into how to determine if a set is actually a power set. Through the use of examples and trials, students will learn to identify true power sets.

### 3. How to Write Sets Using Set Builder Notation

Set builder notation allows the user to indicate specific items that are to be included within a set. In this lesson, we will learn how to write sets using set builder notation.

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### Other Chapters

Other chapters within the Algebra II Textbook course

- Algebra II: Basic Arithmetic Review
- Algebra II: Algebraic Expressions and Equations Review
- Algebra II: Real Numbers
- Algebra II: Complex and Imaginary Numbers Review
- Algebra II: Exponents and Exponential Expressions Review
- Algebra II: Properties of Functions Review
- Algebra II: Linear Equations Review
- Algebra II: Systems of Linear Equations
- Algebra II: Inequalities Review
- Algebra II: Matrices and Determinants
- Algebra II: Absolute Value Review
- Algebra II: Polynomials
- Algebra II: Factoring
- Algebra II: Graphing and Factoring Quadratic Equations Review
- Algebra II: Rational Expressions
- Algebra II: Graphing and Functions
- Algebra II: Roots and Radical Expressions Review
- Algebra II: Quadratic Equations
- Algebra II: Exponential and Logarithmic Functions
- Algebra II: Conic Sections
- Algebra II: Sequences and Series
- Algebra II: Combinatorics
- Algebra II: Calculations, Ratios, Percent & Proportions Review
- Algebra II: Statistics
- Algebra II: Trigonometry