HOMEWORK: PG 45 #22-30 , 35-40 , 53

Sec 3: Absolute Value Inequalities

Learning Target: I will solve and graph absolute value inequalities and use them in real-world situations.

Ex 1: Review Problem

STEPSGet absolute

value bars by themselves.

Make 2 equations with a positive and a negative value.

Solve each equation.

Solve

*Remember – there should be ___ solutions with an absolute value equation.

Ex 2: How do Absolute Values and Inequalities work together?

List all integer values of x that are solutions to

Solve algebraically.

Graph all the solutions to .

Ex 3: Quality Core Problem

Part I

Part II – graph your solution on a number line.

Ex 4: Quality Core Problem

Ex 5: Tolerance

A manufacturer of washers calls for a specific dimension of a 10 cm diameter with a tolerance of 0.1 cm.

Write an absolute value equation to model the given specifications.

Solve the absolute value equation to find the maximum and minimum diameters of the washers being made. Does your answer make sense?

Ex 6: Quality Core Problem

Quality Core Quick Review

Ex 7: Step it Up!

STEPSGet absolute

value bars by themselves.

Make 2 equations with a positive and a negative value.

Solve each equation.

Solve and graph:

A.

B.

C.

Homework

pg 45 #22-30, 35-40, 53

Answers:22 a. 35. b. 36. no solution23. 37. z < -1 or z > 524. 38. p > -3 and p < 5/3 25. 39. f > 5.2 or f < -4.426. 40. 27. 53. David is correct. See

explanation.