# Ch 11: TASC Math: Inequalities

### About This Chapter

## TASC Math: Inequalities - Chapter Summary

These video lessons, taught by math experts, help you understand inequalities and prepare to answer these types of questions on the TASC test. The lessons cover the following topics:

- Defining inequalities
- Exploring set notation, compound inequalities and systems of inequalities
- Graphing inequalities
- Solving and graphing absolute value inequalities
- Translation of math sentences to inequalities

Our short, engaging video lessons are informative and fun to watch. The instructors take difficult subjects and break them down into easy-to-understand components to help you better grasp the material. Watch the lessons as often as you'd like. If you need to review a key point, but don't want to re-watch the entire video, use video tags to quickly take you to that section. Read transcripts of the lessons to bolster what you've just watched and learned.

### Objectives of the TASC Math: Inequalities Chapter

The TASC test is a high school equivalency exam offered to students who are over 16 years old and not currently enrolled in high school. TASC tests are offered at specified locations in an online or paper-and-pencil format or both. The Math portion of the test is given in two parts, each of which is 50 to 55 minutes long, with a 15 minute break in between. Algebra questions make up 26% of the test questions, which include multiple-choice, constructed-response and gridded-response formats.

Content is categorized on the test as high, medium or low emphasis. Algebra: Reasoning with Equations and Inequalities is given high emphases on the TASC test, meaning that this content is relevant to college and career readiness. Therefore, you will find questions on inequalities on the test. Use these video lessons and take the quizzes and chapter exam to be sure you are ready to answer questions on inequalities.

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### 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 TASC Mathematics: Prep and Practice course

- TASC Math: Real Numbers
- TASC Math: Complex and Imaginary Numbers Review
- Intro to Algebraic Expressions
- Intro to Algebraic Equations
- TASC Math: Exponents and Exponential Expressions
- Overview of Square Roots
- TASC Math: Radical Expressions
- TASC Math: Functions
- TASC Math: Graphing and Functions
- Overview of Sequences
- TASC Math: Algebraic Distribution
- TASC Math: Linear Equations
- TASC Math: Factoring
- TASC Math: Quadratic Equations
- TASC Math: Graphing and Factoring Quadratic Equations
- TASC Math: Properties of Polynomial Functions
- TASC Math: Rational Expressions
- TASC Math: Measurement
- Lines, Angles & Arcs
- Shapes in Geometry
- Volume & Surface Area
- TASC Math: Calculations, Ratios, Percent & Proportions
- TASC Math: Data, Statistics, and Probability
- Making Inferences & Justifying Conclusions in Math
- TASC Mathematics Flashcards