# Chapter 6 Notes - Chapter 6 Solving and Graphing Linear...

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Chapter 6: Solving and Graphing LinearInequalitiesMr. Baker6.1: Solving One-Step Linear InequalitiesThe graphof a linear inequality in one variable is the set of points on a number line that represent all solutions of the inequality:Verbal PhraseInequalityGraph- All real numbers less than 2- All real numbers greater than 2 -All real numbers less thanor equal to 1-All real numbers greater thanor equal to 0-An open dot is used for < or > and a solid dot for .
Example 1: Write and Graph a Linear Inequalitya)b)You Try:1)2)Transformations that produce equivalent inequalities:Example 2: Using Subtraction to Solve an InequalitySolve . Graph the solutionExample 3: Using Addition to Solve an InequalitySolve You Try: 1) 2) Using Multiplication and Division:-When you multiply or divide each side of an inequality by a negativenumber, you must reverse the inequality symbol to maintain a true statement. For instance, to reverse >, replace it with <.Example 4: Using Multiplication or Division to Solve an Inequalitya)
b) c)
6.2: Solving Multi-Step Linear InequalitiesExample 1: Using More than One StepSolve Example 2: Multiplying or Dividing by a Negative NumberSolve the inequality:a) b) You Try: 1)
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