1. Algebra-2 Lesson 5-3 Absolute Value Inequalities

2. Quiz 1-6 x > 3 and x 3 and x < 5 Graph the compound inequalities 1. 2. x ≤ 3 or x > 5

3. Quiz Describe the transformation to the parent function. 3. 4. 5.

4. 3 If you can’t tell which direction the arrow goes, (  ) or (   ) pick a number that is between 1 and 5 and see if it makes sense. If you can’t tell which direction the arrow goes, (  ) or (   ) pick a number that is between 1 and 5 and see if it makes sense. (English): The distance between “some number (x)” and “+3” is greater than “2” “some number (x)” and “+3” is greater than “2” 51 4 Is the distance between 3 and 4 greater than 2? Is the distance between 3 and 4 greater than 2? NO!  so the arrows must open outward not inward. NO!  so the arrows must open outward not inward. X X

5. 2. Write numbers in the for letters ‘a’, ‘b’, ‘c’, ‘d’, ‘e’ Your turn: 1. Write the “English” version of: d 3. Do the numbers ‘b’ and ‘e’ have an open circle or a solid circle? circle? 4. Which direction do the arrows go? a c eb

6. 3 Do you have to graph it to figure it out? 5 1

7. Absolute Value INEQUALITIES x – 5 > 1 x – 5 < -1

8. Your turn: 5. Solve for x 6. Graph

9. 2 If you can’t tell which direction the arrow goes, (  ) or (   ) pick a number that is between -1 and 5 and see if it makes sense. If you can’t tell which direction the arrow goes, (  ) or (   ) pick a number that is between -1 and 5 and see if it makes sense. (English): The distance between “some number (x)” and “+2” is LESS than “3” “some number (x)” and “+2” is LESS than “3” 5 4 Is the distance between 2 and 4 LESS than 3? Is the distance between 2 and 4 LESS than 3? yESS!  so the arrows must open inward not outward. yESS!  so the arrows must open inward not outward. X X

10. Do you have to graph it to figure it out? 6 4

11. 6 4

12. Absolute Value INEQUALITIES x – 5 < 1 x – 5 > -1

13. Your turn: 7. Solve for x 8. Solve for x

14. Solving Inequalities by Graphing For what values of ‘x’ are the y-values of less than the y-values of:

15. Solving Inequalities by Graphing For what values of ‘x’ are the y-values of less than the y-values of: