Final answer:
To graph the solution set of the system of inequalities, graph each inequality separately and then shade the region that satisfies both inequalities. The solution set is unbounded.
Step-by-step explanation:
To graph the solution set of the system of inequalities, we need to graph each inequality separately and then shade the region that satisfies both inequalities. Let's start with the first inequality: y-x² ≥ 4. This is the graph of a parabola opening downwards, with the vertex at (0, 4). Now let's graph the second inequality: y < 20. This is the graph of a horizontal line at y = 20. The solution set is the region below the parabola and below the line. To find the vertices, we need to find the points where the parabola and the line intersect. To determine whether the solution set is bounded or unbounded, we need to check if there are any restrictions on the values of x or y. In this case, there are no restrictions, so the solution set is unbounded.