# Ch 17: ACT Math - Inequalities: Tutoring Solution

### About This Chapter

## How it works:

- Begin your review or other ACT math preparation work.
- Identify the inequalities concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our ACT prep tutoring solution will benefit any student who is trying to learn about inequalities and earn acceptable scores. This resource can help students including those who:

- Struggle with understanding set notation, compound inequalities, systems of inequalities, graphing inequalities, or any other inequalities topic
- Have limited time for studying
- Want a cost effective way to supplement their ACT preparation
- Prefer learning ACT topics visually
- Find themselves struggling with the inequalities portion of the review
- Cope with ADD or ADHD
- Want to get ahead in their ACT preparation
- Don't have access to ACT review materials

## Why it works:

**Engaging Tutors:**We make learning about inequalities simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live ACT prep tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Complete your inequalities review on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning objectives:

- Review what an inequality is.
- Learn about set notation, compound inequalities and systems of inequalities.
- Find out how to graph 1- and 2-variable inequalities.
- Learn to solve and graph absolute value inequalities.
- Review what a factorial is.
- Practice algebra problems that use factorials without many numbers.

### 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. 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.

### 3. 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!

### 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. What Is a Factorial?

Maybe it's because I'm a math teacher, but when I watched the Olympics I found myself thinking about how many different ways the swimmers could have finished the race. In this video, you'll learn the answer to this question, why it's important and how it lead to the invention of the mathematical operation called the factorial.

### 8. Factorial Practice Problems

While the definition of factorial isn't complicated, it's easy to make them trickier by throwing a lot of them together and adding in some fractions. Test your skills here with some algebraic examples that make you use factorials without many numbers.

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### Other Chapters

Other chapters within the ACT Prep: Tutoring Solution course

- ACT - About the Test: Tutoring Solution
- ACT English - Section Overview: Tutoring Solution
- ACT English - Punctuation: Tutoring Solution
- ACT English - Grammar and Usage: Tutoring Solution
- ACT English - Sentence Structure: Tutoring Solution
- ACT English - Rhetorical Strategy: Tutoring Solution
- ACT English - Organization: Tutoring Solution
- ACT English - Style: Tutoring Solution
- ACT Math - Overview: Tutoring Solution
- ACT Math - Pre-Algebra: Tutoring Solution
- ACT Math - Algebraic Expressions: Tutoring Solution
- ACT Math - Radicals: Tutoring Solution
- ACT Math - Linear Equations: Tutoring Solution
- ACT Math - Functions: Tutoring Solution
- ACT Math - Absolute Value: Tutoring Solution
- ACT Math - Matrices: Tutoring Solution
- ACT Math - Probability: Tutoring Solution
- ACT Math - Data and Statistics: Tutoring Solution
- ACT Math - Exponents: Tutoring Solution
- ACT Math - Polynomials and Quadratics: Tutoring Solution
- ACT Math - Rational Equations: Tutoring Solution
- ACT Math - Sequences: Tutoring Solution
- ACT Math - Complex Numbers: Tutoring Solution
- ACT Math - Exponentials and Logarithms: Tutoring Solution
- ACT Math - Coordinate Geometry: Tutoring Solution
- ACT Math - Conic Sections: Tutoring Solution
- ACT Math - Triangles: Tutoring Solution
- ACT Math - Plane Geometry: Tutoring Solution
- ACT Math - Logic in Mathematics: Tutoring Solution
- ACT Math - Trigonometry: Tutoring Solution
- ACT Science Reasoning - Overview: Tutoring Solution
- ACT Science Reasoning - Fundamentals: Tutoring Solution
- ACT Reading - Overview: Tutoring Solution
- ACT Reading - Question Types: Tutoring Solution
- ACT Reading - Understanding Passages: Tutoring Solution
- ACT Reading - Literary Terms: Tutoring Solution
- ACT Reading - Practice: Tutoring Solution
- ACT Writing - Overview: Tutoring Solution
- ACT Writing - Essay Skills: Tutoring Solution
- ACT Writing - Essay Parts: Tutoring Solution
- ACT Writing - Planning: Tutoring Solution
- ACT Writing - Advanced Skills: Tutoring Solution