Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. a sandwich costs $2, and hot lunch costs $3. this system of inequalities models the scenario: 2x + 3y ≤ 15 x + y ≥ 3 part a: describe the graph of the system of inequalities, including shading and the types of lines graphed. provide a description of the solution set. part b: is the point (5, 1) included in the solution area for the system? justify your answer mathematically. part c: choose a point in the solution set and interpret what it means in terms of the real-world context.