Show that the solution set is empty for the system of inequalities
                   2x + y ≥ 4 and 2x + y < -6

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

We draw the graphs for the lines 2x + y = 4 and 2x + y = -6

         

          Now you can see that the region shaded in red represents the inequality

2x + y ≥ 4 and that in green represents 2x + y < -6 clearly there is no portion of both the regions in common and hence the solution set of given system is empty.

 

 

Answered by  | 4th Jun, 2014, 03:23: PM