Graphing Inequalities

                     Lesson 1

 

                                                            Problem:     Graph:  y > 6x - 8   

 

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x

0

1

2

y

-8

-2

4

                                                                 

                                                           

                                                            Solution       Put “=” in place of “>” : y = 6x - 8

                                                            Step 1:                         

                           

                                                            Solution        Assume values of x and find out value of y.

Step 2:                                                                                                       

                            

                                                            Solution        Show all three points (x, y) on the graph.

                                                            Step 3:            Draw line a solid if the inequality is  < or >                                                            

 

                                                            Solution        If the point makes the inequality true, shade that side of the line. 

                                                            Step 4:

 

                                                            Solution       If the point does not make the inequality true, shade the   opposite side of the line.

                                                            Step 5: 

Complete      

 

                                                           

Try two practice problems:  

 

A.

y >  2x -  1

B.

y  <  9x -  5

  

 

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