# Ch 7: Algebra II: Inequalities Review

### About This Chapter

## Algebra II: Inequalities Review - Chapter Summary and Learning Objectives

Use this chapter to learn how inequalities can be used to describe situations in which there are a range of solutions. You might be surprised at the implications of simply swapping out an equation's equal sign with a less-than or greater-than symbol. Lessons included here can help you examine their graphs and find out what happens when an inequality contains an absolute value. By the time you complete this chapter, you should be able to:

- Solve 1- and 2-variable inequalities
- Graph linear inequalities on a number line
- Graph compound inequalities on the coordinate plane
- Write number sentences describing inequalities

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

What Is an Inequality? | Examine how inequalities are used in everyday life. Learn how to write 1- and 2-variable inequalities and find out what their graphs look like. |

How to Graph 1- and 2-Variable Inequalities | Study the processes involved in solving 1-variable linear inequalities and find out how to graph them on a number line. Tips for solving and graphing 2-variable linear inequalities on the coordinate plane are also included. |

Set Notation, Compound Inequalities, and Systems of Inequalities | Discover the differences between 'and' compound inequalities and 'or' compound inequalities. You can also examine methods for graphing systems of inequalities. |

Graphing Inequalities: Practice Problems | Get practice solving inequalities and graphing them on a number line or coordinate plane. |

How to Solve and Graph an Absolute Value Inequality | Learn rules for solving and graphing 1- and 2-variable inequalities containing an absolute value. |

Solving and Graphing Absolute Value Inequalities: Practice Problems | Receive additional instruction on the steps required to graph absolute value inequalities. |

Translating Math Sentences to Inequalities | Describe how inequalities can be translated into number sentences. |

### 1. What is an Inequality?

Deciding how to spend your money can be a tricky thing. Should you save it, invest it, or enjoy it? Learn how inequalities can help you make your decision!

### 2. How to Graph 1- and 2-Variable Inequalities

So an inequality is just an equation with a less than or greater than symbol. But what is the difference between 1 and 2 variable inequalities? What does have a greater than or equal to symbol change? When do you use a number line instead of a coordinate plane? Get those answers here!

### 3. Set Notation, Compound Inequalities, and Systems of Inequalities

In this lesson, we'll explore the conditions of compound inequalities and learn how to express them using set notation and interval notation. Test you knowledge afterward with a short quiz.

### 4. Graphing Inequalities: Practice Problems

If you're already pretty familiar with what inequalities are and just looking for a place to practice your skills, this is the place. This lesson covers topics like 1-variable, 2-variable, compound, and systems of inequalities.

### 5. How to Solve and Graph an Absolute Value Inequality

Taking two skills and combining them to make a more complicated problem is a classic tactic in mathematics. If you feel confident with absolute values and inequalities, see if you can tackle them with their powers combined here!

### 6. Solving and Graphing Absolute Value Inequalities: Practice Problems

Solving and graphing absolute value inequalities brings a lot of different skills together in one place. The practice problems in this video will give you a good chance to see more examples of absolute value inequalities but will also test your general algebraic knowledge.

### 7. Translating Math Sentences to Inequalities

Watch this video lesson to learn how you can easily translate math sentences into inequalities. Once you know how to do this, solving word problems becomes that much easier.

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### Other Chapters

Other chapters within the Algebra II: High School course

- 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: Absolute Value Review
- Algebra II: Graphing and Factoring Quadratic Equations Review
- Algebra II: Quadratic Equations
- Algebra II: Factoring
- Algebra II: Polynomials
- Algebra II: Rational Expressions
- Algebra II: Graphing and Functions
- Algebra II: Conic Sections
- Algebra II: Roots and Radical Expressions Review
- Algebra II: Exponential and Logarithmic Functions
- Algebra II: Sequences & Series
- Algebra II: Combinatorics
- Algebra II: Calculations, Ratios, Percent & Proportions Review
- Algebra II: Statistics
- Algebra II: Trigonometry
- Teacher Resources for High School Algebra II