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Chapter 6.1 Solving Inequalities Using Addition and Subtraction Mr. Beltz & Mr. Sparks.

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1 Chapter 6.1 Solving Inequalities Using Addition and Subtraction Mr. Beltz & Mr. Sparks

2 P.323 Goal: Solve and graph one-step inequalities in one variable using addition or subtraction. Refresher < Less than Greater than > < Less than or equal to Greater than or equal to >

3 Graph of an Inequality: in one variable is the set of points on a number line that represents all the solutions of the inequality. – If the endpoint on the graph is a solution, draw a solid dot. ( ) – If the endpoint on the graph is NOT a solution, draw an open dot. ( )

4 Graph an Inequality in One Variable a) x < 2 All real numbers less than 2 b) a > -2 All real numbers greater than -2 c) z < 1 All real numbers less than or equal to 1 d) d > 0 All real numbers greater than or equal to 0

5 Using Subtraction to Solve an Inequality Solve x + 5 > 3 -5 -5 x > 3 -5 x > -2

6 Using Addition to Solve an Inequality Solve -2 > n – 4 +4 + 4 -2 + 4 > n 2 > n

7 Practice p.323-325 #1-10


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