1. Ch. 1-5 Absolute Value Equations and Inequalities

2. Ex. 1: Solve | 15 – 3x | = 6 | 15 – 3x | = 6 15 – 3x = 6 15 – 3x = -6 -15 -3x = -9-3x = -21 x = 3 x = 7

3. Solve Check understanding 1 p. 33

4. Ex. 2: 4 – 2|x + 9| = -5 4 – 2|x + 9| = -5 -4 -2|x + 9| = -9

5. Ex. 3 cont. -9 x = -4.5 x = -13.5

6. Solve check understanding 2 p. 34

7. Ex. 3: Solve |3x – 4| = -4x - 1 3x – 4 = -4x – 1 3x – 4 = 4x + 1 +4x 7x – 4 = -1 +4 7x = 3 -3x -4 = x + 1 x = -5

8. When there is a variable outside of the absolute value, you must check your answers. | 3(-5) – 4 | = -4(-5) -1 | -15 – 4 | = 20 - 1 | -19 | = 19 19 = 19 x = -5 Solution Not a solution

9. Solve check understanding 3A and 3B, p. 34

10. Ex. 4: Solve | 2x – 5 | > 3. Graph the solution. 2x – 5 > 3 2x – 5 < -3 +5 2x > 8 x > 4 +5 2x < 2 x < 1

11. Solve check understanding 4 p. 35

12. Ex. 5: Solve -2| x + 1 | + 5 > -3 -2| x + 1| + 5 > -3 -5 -2| x + 1| > -8 | x + 1| < 4

13. Ex. 5 cont. x + 1 < 4 x + 1 > -4 x < 3 x > -5

14. Solve check understanding 5 p. 35

15. Ex. 6: The area A in square inches of a square photo is required to satisfy 8.5 < A < 8.9. Write this requirement as an absolute value inequality. Find the tolerance. Find the average of the maximum and minimum values Write the inequality -.2 < A – 8.7 <.2 Rewrite as an absolute value inequality | A – 8.7 | <.2

16. Homework p. 36 – 37 # 1 – 53 eoo