1 1 F INISHING FROM F RIDAY Solve and check for extraneous solutions Hint: Remember the Negative

Chapter /18/2015 9:14 PM2 2 A BSOLUTE V ALUE I NEQUALITIES

 Inequalities involve signs that are greater, less, and/or equal to signs. 12/18/2015 9:14 PM3 3

SOLVING FOR ABSOLUTE VALUE INEQUALITIES 12/18/2015 9:14 PM4 1-6: Absolute Value Equations 12/18/2015 9:14 PM2.9: Absolute Value Inequalities4 When Solving for Inequalities, remember: Less Than AND More Than OROR LAMO

12/18/2015 9:14 PM2-8: Absolute Value Inequalities5 5 A ND VERSUS O R … When Solving for Inequalities, remember: Less ThAND GreatOR Than Less Than, “AND”Greater Than, “OR”

S TEPS FOR S OLVING AND G RAPHING A BSOLUTE V ALUE I NEQUALITIES 12/18/2015 9:14 PM6 1-6: Absolute Value Equations 12/18/2015 9:14 PM2.9: Absolute Value Inequalities6 1.Identify whether it is an AND/OR inequality (think LAMO) 2.Solve each inequality 3.Check each solution and make sure there aren’t any extraneous solutions 4.Graph appropriately on number line

E XAMPLE 1 Solve and graph the solution 12/18/2015 9:14 PM7 1-6: Absolute Value Equations 12/18/2015 9:14 PM2.9: Absolute Value Inequalities7 | –8 |0|0 |2|2

E XAMPLE 2 Solve and graph the solution 12/18/2015 9:14 PM8 1-6: Absolute Value Equations 12/18/2015 9:14 PM2.9: Absolute Value Inequalities8 | –9/2 |0|0 |2|2 OR

Y OUR T URN Solve and graph the solution 12/18/2015 9:14 PM9 1-6: Absolute Value Equations 12/18/2015 9:14 PM2.9: Absolute Value Inequalities9 | –7/2 |0|0 | -1/2

12/18/2015 9:14 PM2-8: Absolute Value Inequalities10 E XAMPLE 3 Solveand graph.

12/18/2015 9:14 PM2-8: Absolute Value Inequalities11 Solveand graph. YOUR TURN

E XAMPLE 4 Solve and graph the solution 12/18/2015 9:14 PM12 1-6: Absolute Value Equations 12/18/2015 9:14 PM2.9: Absolute Value Inequalities12 No Solution

E XAMPLE 5 Solve and graph the solution 12/18/2015 9:14 PM13 1-6: Absolute Value Equations 12/18/2015 9:14 PM2.9: Absolute Value Inequalities13 All Real Numbers

A SSIGNMENT  Finish WKST from Friday 12/18/2015 9:14 PM14 1-6: Absolute Value Equations 12/18/2015 9:14 PM2.9: Absolute Value Inequalities14