Wetzel

Math 110

6.5 – Systems of Inequalities

Solving an Inequality with Two Variables –

            To Solve:         

 1.)  Graph the inequality on a graph as if it were an equation until it is time to draw the curve.

                                    Dotted Line:  if < or >

                                    Solid Line:  if  or

2.)  Choose a test point to determine which side of the curve the solutions lie.

                        3.)  Shade the side of the curve where the solutions lie.

            Examples:

            1.)                           2.)                   3.) 

Solving a System of Inequalities with Two Variables –

            To Solve:   ( You must use the graphing method! )

                1.)  Graph the inequalities together on the same graph.

                2.)  The solution to the system is the area where the shaded regions overlap.

            Examples:

            1.)                                   2.) 

HW:  #1-13odd, 23-37odd