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CHAPTER 3: LINEAR EQUATIONS AND INEQUALITIES Contents

CHAPTER 3 107 CHAPTER 3: LINEAR EQUATIONS AND INEQUALITIES CHAPTER Objectives By the end of this CHAPTER , the student should be able to Solve LINEAR EQUATIONS (simple, dual-side variables, infinitely many solutions or no solution, rational coefficients) Solve LINEAR INEQUALITIES Solve literal EQUATIONS with several variables for one of the variables Contents CHAPTER 3: LINEAR EQUATIONS AND INEQUALITIES .. 107 SECTION : LINEAR EQUATIONS .. 108 A. VERIFYING SOLUTIONS .. 108 B. ONE-STEP EQUATIONS .. 108 C. TWO-STEP EQUATIONS .. 110 D. GENERAL EQUATIONS .. 111 E. SOLVING EQUATIONS WITH FRACTIONS .. 113 EXERCISES .. 115 SECTION : LINEAR INEQUALITIES .. 116 A. GRAPHING LINEAR INEQUALITIES .. 116 B. SOLVING LINEAR INEQUALITIES .. 117 C. TRIPARTITE INEQUALITIES .. 119 EXERCISES .. 121 SECTION : LITERAL EQUATIONS .. 122 A. SOLVING FOR A VARIABLE .. 122 EXERCISES .. 123 CHAPTER REVIEW .. 124 CHAPTER 3 108 SECTION : LINEAR EQUATIONS A.

SECTION 3.2: LINEAR INEQUALITIES A. GRAPHING LINEAR INEQUALITIES An algebraic inequality is a mathematical sentence connecting an expression to a value, variable, or another expression with an inequality sign. Below is a table of inequalities we will be using . Symbol In Words Examples < less than 1 < 2 “1 is less than 2”

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