Final answer:
To graph the solution set of the system of inequalities, graph the individual inequalities and determine the overlapping region.
Step-by-step explanation:
To graph the solution set of the system of inequalities, we first need to graph the individual inequalities separately and then determine the region that satisfies both inequalities.
For the first inequality, x²+y < 5, we need to graph the equation y = 5 - x² to represent the region below the parabola.
For the second inequality, y < 2x+5, we need to graph the line y = 2x+5 and shade the region below the line.
The solution set of the system of inequalities is the region where the shaded regions of both inequalities overlap.