Absolute Value Equations and Inequalities

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Presentation transcript:

Absolute Value Equations and Inequalities Lesson 3-6 (part 2) Absolute Value Equations and Inequalities

What is absolute value? Remember: Absolute value is the distance from Zero on a number line | x | = 3

| x | < 3 (what values of x are less than 3 units away from 0?) So what would this solution be? | x | < 3 (what values of x are less than 3 units away from 0?) What would this solution be? | x | > 3 (what values of x are more than 3 units away from 0?)

*STEPS to solve an absolute value INEQUALITY: Isolate the Absolute Value Rewrite the absolute value equation as two separate equations, one positive and the other negative FLIP THE SIGN FOR THE NEGATIVE CASE! Solve each equation separately After solving, substitute your answers back into original equation to verify that you solutions are valid

*STEPS to solve an absolute value INEQUALITY: Solve and graph: *STEPS to solve an absolute value INEQUALITY: Isolate the Absolute Value Rewrite the absolute value equation as two separate equations, one positive and the other negative FLIP THE SIGN FOR THE NEGATIVE CASE! Solve each equation separately After solving, substitute your answers back into original equation to verify that you solutions are valid My Turn: |x| ≥ 4 Your Turn: |x| < 0.5

*STEPS to solve an absolute value INEQUALITY: Solve and graph: *STEPS to solve an absolute value INEQUALITY: Isolate the Absolute Value Rewrite the absolute value equation as two separate equations, one positive and the other negative FLIP THE SIGN FOR THE NEGATIVE CASE! Solve each equation separately After solving, substitute your answers back into original equation to verify that you solutions are valid My Turn: |2p + 5| >11 Your Turn: |p – 4 | ≤ 21

*STEPS to solve an absolute value INEQUALITY: Solve and graph: *STEPS to solve an absolute value INEQUALITY: Isolate the Absolute Value Rewrite the absolute value equation as two separate equations, one positive and the other negative FLIP THE SIGN FOR THE NEGATIVE CASE! Solve each equation separately After solving, substitute your answers back into original equation to verify that you solutions are valid Your Turn: |2x +1| > 13

Homework: p. 170 #23-31 SimSo Lesson 24

Algebra Warm Up 03/11/15 1. | x | < 6 2. |2p + 5| >11 Solve: 1. | x | < 6 2. |2p + 5| >11 3. | x | + 1 < 3 4. 3 |p – 4 | ≤ 21