Absolute Value Inequalities

                    Lesson 1

Problem:                   Solve:  5 > |x + 2|

Solution                    We will solve the problem in different Step s

Step 1:                      

Solution

Step 2:                        

Case 1:	Case 2:
5 > |x + 2| x + 2 < 5 x < 5 – 2 x < 3	5 > |x + 2| x + 2 > -5 x > -5 – 2 x > -7

                                                             Solution                   The answer is:  -7 < x < 3

 Step 3:                                                                      

 Complete   

                                                            Try two practice problems:  

Solve the following:

                                                                                                A. 3 > |x – 2|

                                                                                                B. 8 < |x – 4|

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