2-8 Two-Variable Inequalities

Objective

To graph two-variable inequalities

A solve it problem.
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In some situations you need to compare quantities. You can use inequalities for situations that involve these relationships: less than, less than or equal to, greater than, and greater than or equal to.

Essential Understanding Graphing an inequality in two variables is similar to graphing a line. The graph of a linear inequality contains all points on one side of the line and may or may not include the points on the line.

A linear inequality is an inequality in two variables whose graph is a region of the coordinate plane bounded by a line. This line is the boundary of the graph. The boundary separates the coordinate plane into two half-planes, one of which consists of solutions of the inequality.

Two graphs.
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End ofPage 114

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