BACK TO TEXT

Solving Quadratic Inequalities: Worked Examples        

 

Example 1.    Solve           

 

Get one side equal to zero:        

 

Factor the quadratic:                

 

Find the critical numbers:         

 

Create a sign chart:                                   

Determine the solution interval:           

 

 

 

 

 

Example 2.    Solve           

 

Get one side equal to zero:        

 

Factor the quadratic:                

 

Find the critical numbers:          

Create a sign chart:                                   

Determine the solution interval:           

 

 

 

 

 

Example 3.    Solve           

 

                                   

 

                                     

 

                        

        

                                               

 

 

 

 

Example 4.    Solve           

 

                                 

 

                          

 

                                                      

 

 

 

Example 5.    Solve           

 

                                       

 

                        

 

                        

                                                     

 

 

 

Example 6.    Solve           

 

                                 

 

                           

 

                        

                                                 

 

 

 

 

Example 7.    Solve           

 

                                        

 

                        

 

                           

                                                      

                         

 

 

 

 

Example 8.    Solve           

 

                                  

 

                        

                                                    

                                              

                                                 

 

                          

 

 

 

Example 9.    Solve           

 

                              

 

                        

 

                           

                                                   

                                                          

 

 

 

 

Example 10.  Solve        

 

                                             

 

                                      

 

                        

 

                       

                                                   

                                                                                         

 

 

 BACK TO TEXT