A graph of the system of inequalities is shown on the coordinate plane in the image attached below.
In Mathematics, there are several rules that are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a graph and these include the following:
- The line on a graph should be a dashed line when the inequality symbol is (> or <).
- The inequality symbol should be less than (<) when a dashed line is shaded below.
- The inequality symbol should be greater than or equal to (≥) when a solid line is shaded above.
In this context, we can logically deduce that the graph of this linear inequality, y ≥ (2/3)x - 6 would be a solid line and shaded above while the graph of this linear inequality, y < -x − 2 would be a dashed line and shaded below. The solution area is the region shaded green to the left on the graph.