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Section 2.3: Solving Absolute Value Inequalities

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Presentation on theme: "Section 2.3: Solving Absolute Value Inequalities"— Presentation transcript:

1 Section 2.3: Solving Absolute Value Inequalities

2 Objective: By following instructions, students will be able to: Identify two ways to solve an absolute value inequality.

3 explain 1A Solve the inequality graphically.

4 explain 1B Solve the inequality graphically. |x-2|-3<1

5 Your-Turn #1 Solve the inequality graphically.

6

7 explain 2a Solve the inequality algebraically. Graph the solution on a number line. |4-x| + 15 > 21

8 explain 2B Solve the inequality algebraically. Graph the solution on a number line.

9 Your-Turn #2 Solve the inequality algebraically. Graph the solution on a number line.

10 explain 3 A machine at a lumber mill cuts boards that are 3.25 meters long. It is acceptable for length to differ from this value by at most 0.02 meters. Write and solve an absolute value inequality to find the range of acceptable lengths.

11 Revisit Objective: Did we... Identify two ways to solve an absolute value inequality?

12 HW: Sec 2.3 pg 55 #s 1-18, 23


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