About This Chapter
Inequalities are similar to equations with the exception that inequalities are written using greater than, less than, or not equal to signs instead of an equal to sign. An inequality can easily be explained as anything which is not equal. Inequalities can be found in real life, not just in a mathematical context, which you will discover in these lessons.
When working with inequalities in math, you'll need to know how to graph them. In the lessons, you'll be taken through exercises where 2-variable inequalities are graphed. You'll see examples and learn about solid line and dotted line graphs. The lessons will also cover systems of inequalities. You'll be presented with some sample problems that will allow you to try out what you have learned to ensure you are grasping the concepts.
Absolute value inequalities are another topic of discussion within these lessons. You'll learn how to use set notation when solving an absolute value inequality. When watching the lessons, you'll discover all the ins and outs of absolute value inequality. To be sure you really are getting it, practice problems are presented for practical work with absolute values.
Through the carefully explained lessons and real-world examples, the concepts are presented to you in a way that will stick with you. Even if you have struggled with understanding algebraic concepts in the past, these videos are ready to put things in simple terms that will help you to become skilled in inequalities.
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. Practice Problem Set for Inequalities
If you'd like more opportunities to practice the concepts you've learned in this chapter, please download the following practice problem set. After you've completed the set, you can download the answer key to check your work and help your understanding. Please note that these documents are not permissible for use during your proctored exam.
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Other chapters within the Math 101: College Algebra course
- Foundations of Linear Equations
- Matrices and Absolute Value
- Factoring with FOIL, Graphing Parabolas and Solving Quadratics
- Complex Numbers
- Exponents and Polynomials
- Rational Expressions
- Radical Expressions & Functions
- Exponentials and Logarithms
- Probability Mechanics
- Sequences and Series
- Studying for Math 101