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Show that the solution set is empty for the system of inequalities                    2x + y ≥ 4 and 2x + y < -6
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM

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 | 04 Jun, 2014, 03:23: PM

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