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

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 >

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. ( )

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

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

Using Addition to Solve an Inequality Solve -2 > n – > n 2 > n

Practice p #1-10