Based on the graph, a possible solution to the system of inequalities is (1, 3).
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.
Based on the information provided, we have the following system of linear inequalities;
y ≥ 2 ......equation 1.
y < 4 ......equation 2.
Based on the graph shown (see attachment), we can logically deduce that the solution for this system of linear inequalities is the shaded region between the solid and dashed boundary lines. Therefore, a possible solution is (1, 3).