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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