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2.1 Introduction to Equations 2.2 Linear Equations 2.3 Introduction to Problem Solving 2.4 Formulas 2.5 Linear Inequalities

Linear Equations and Inequalities

Education is not the filling of a pail, but the lighting of a fire.
— WILLIAM BUTLER YEATS

M

athematics is a unique subject that is essential for describing, or modeling, events in the real world. For example, ultraviolet light from the sun is responsible for both tanning and burning exposed skin. Mathematics lets us use numbers to describe the intensity of ultraviolet light. The table shows the maximum ultraviolet intensity measured in milliwatts per square meter for various latitudes and dates. Latitude 0 10 20 30 40 50 Mar. 21 325 311 249 179 99 57 June 21 254 275 292 248 199 143 Sept. 21 325 280 256 182 127 75 Dec. 21 272 220 143 80 34 13

ISBN 1-256-49082-2

Source: J. Williams, The USA Today Weather Almanac.

If a student from Chicago, located at a latitude of 42°, spends spring break in Hawaii with a latitude of 20°, the sun’s ultraviolet rays in Hawaii will be approximately 249 2.5 99 times as intense as they are in Chicago. Equations can be used to describe, or model, the intensity of the sun at various latitudes. In this chapter we will focus on linear equations and the related concept of linear inequalities.

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Beginning and Intermediate Algebra with Applications & Visualization, Third edition, by Gary K. Rockswold and Terry A. Krieger. Published by Addison Wesley. Copyright © 2013 by Pearson Education, Inc.

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CHAPTER 2 LINEAR EQUATIONS AND INEQUALITIES

2.1

Introduction to Equations
Basic Concepts ● Equations and Solutions ● The Addition Property of Equality ● The Multiplication Property of Equality

A LOOK INTO MATH N

The Global Positioning System (GPS) consists of 24 satellites that travel around Earth in nearly circular orbits. GPS can be used to

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