Quadratic Inequalities

                     Lesson 1

 

                                                            Problem:   Solve algebraically: x + 6x + 8 < 0

                                                                                                 

                                                            Solution    Replace the inequality symbol with an equal sign and solve the resulting equation.   
                                            Step 1:        

                           

                                                            Solution     x+ 6x + 8 = 0; x + 4x + 2x + 8= 0; x(x+4) +2(x+4)

Step 2: 

                            

                                                            Solution     (x+4)(x+2)=0; x=-2,-4

Step 3: x > -2 or x > -4                                                            

 

                                                            Solution      Answer is: x > -3 or x > -4

                                                            Step 4:                                                   

Complete 

                                                           

                                                            Try two practice problems:    

               

Solve algebraically:

A.

x + x - 6 > 0

B.

x - 9 < 0

                  

 

 

 

 

 

 

 

 

 

 

 

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