Prentice Hall Algebra 2

1-5 Solving Inequalities

Objectives

To solve and graph inequalities

To write and solve compound inequalities

A solve it problem with Anya.
Image Long Description

Words like “at most” and “at least” suggest a relationship in which two quantities may not be equal. You can represent such a relationship with a mathematical inequality.

Essential Understanding Just as you use properties of equality to solve equations, you can use properties of inequality to solve inequalities.

In the graphs above, the point at 4 is a boundary point because it separates the graph of the inequality from the rest of the number line. An open dot at 4 means that 4 is not a solution. A closed dot at 4 means that 4 is a solution.


End ofPage 33

Table of Contents

Prentice Hall Algebra 2 Chapter 1 Expressions, Equations, and Inequalities Chapter 2 Functions, Equations, and Graphs Chapter 3 Linear Systems Chapter 4 Quadratic Functions and Equations Chapter 5 Polynomials and Polynomial Functions Chapter 6 Radical Functions and Rational Exponents Chapter 7 Exponential and Logarithmic Functions Chapter 8 Rational Functions Chapter 9 Sequences and Series Chapter 10 Quadratic Relations and Conic Sections Chapter 11 Probability and Statistics Chapter 12 Matrices Chapter 13 Periodic Functions and Trigonometry Chapter 14 Trigonometric Identities and Equations Skills Handbook English/Spanish Illustrated Glossary Selected Answers Index Acknowledgments