Final answer:
The student's question on solving a system of linear inequalities involves graphically determining the overlap between the regions defined by the inequalities y > (1/3)x + 2 and y < -(1/2)x + 3.
Step-by-step explanation:
The question is about solving a system of linear inequalities, which in this case are y > (1/3)x + 2 and y < -(1/2)x + 3. Solving systems like this typically involves graphing each inequality on a coordinate plane and determining the region of the plane that satisfies all inequalities simultaneously.
To solve these, you would graph the first inequality y > (1/3)x + 2, creating a shaded region above the line y = (1/3)x + 2. Next, graph the second inequality y < -(1/2)x + 3, shading the area below the line y = -(1/2)x + 3. The solution to the system is the overlap of these two shaded regions, which represents all the points (x, y) that satisfy both inequalities