Solve Equations and Inequalities Involving | Absolute Value |

Warm-up Solve the following equations: 1. 3x + 5 = 9 2. ½ x - 3 = (x+4) = x + 3 = 5x x +2 ≥ ⅔x + 3 = 2 X = 4/3 X = 10 X = 1/2 X = 4 X ≤ -5/3 X = 3/2

Solving Absolute Value Equation 1. |x| = 3 x = 3x = |x| - 6= 3 x - 6 = 3x - 6 = -3 x = 9x = 3 +6

Your Turn! 3. |x| = -94. |x| + 8 = 5 x = -9x = 9x = -3x = 3

5. |x + 5| = 3 x + 5 = -3x + 5 = 3 -5 x =-8 -5 x = |x + 5| = 10 x + 5 = -3x + 5 = 3 -5 x =-8 -5 x =-2 x + 5 = 5x + 5 = x =0 -5 x =-10 22

Classwork

Multiple-choice review Solving linear equations, inequalities and absolute value equations