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Finishing from Friday. Solve and check for extraneous solutions Hint: Remember the Negative. 1. Chapter 1.6. Absolute Value Inequalities. 9/23/2014 2:15 AM. 2. ABSOLUTE VALUE INEQUALITIES.
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Finishing from Friday Solve and check for extraneous solutions Hint: Remember the Negative 1
Chapter 1.6 Absolute Value Inequalities 9/23/2014 2:15 AM 2
ABSOLUTE VALUE INEQUALITIES • Inequalities involve signs that are greater, less, and/or equal to signs. 9/23/2014 2:15 AM 3
SOLVING FOR ABSOLUTE VALUE INEQUALITIES When Solving for Inequalities, remember: Less Than AND More Than OR LAMO 9/23/2014 2:15 AM 2.9: Absolute Value Inequalities 4 1-6: Absolute Value Equations
And versus Or… When Solving for Inequalities, remember: Less ThAND GreatOR Than Less Than, “AND” Greater Than, “OR” 5 2-8: Absolute Value Inequalities
Steps for Solving and Graphing Absolute Value Inequalities Identify whether it is an AND/OR inequality (think LAMO) Solve each inequality Check each solution and make sure there aren’t any extraneous solutions Graph appropriately on number line 9/23/2014 2:15 AM 2.9: Absolute Value Inequalities 6 1-6: Absolute Value Equations
Example 1 Solve and graph the solution | 2 | 0 | –8 9/23/2014 2:15 AM 2.9: Absolute Value Inequalities 7 1-6: Absolute Value Equations
Example 2 Solve and graph the solution OR | 2 | 0 | –9/2 9/23/2014 2:15 AM 2.9: Absolute Value Inequalities 8 1-6: Absolute Value Equations
Your Turn Solve and graph the solution | -1/2 | 0 | –7/2 9/23/2014 2:15 AM 2.9: Absolute Value Inequalities 9 1-6: Absolute Value Equations
Example 3 Solve and graph. 2-8: Absolute Value Inequalities
YOUR TURN Solve and graph. 2-8: Absolute Value Inequalities
Example 4 Solve and graph the solution No Solution 9/23/2014 2:15 AM 2.9: Absolute Value Inequalities 12 1-6: Absolute Value Equations
Example 5 Solve and graph the solution All Real Numbers 9/23/2014 2:15 AM 2.9: Absolute Value Inequalities 13 1-6: Absolute Value Equations
Assignment • Finish WKST from Friday 9/23/2014 2:15 AM 2.9: Absolute Value Inequalities 14 1-6: Absolute Value Equations