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+3yless than or equal to 15 and x+ygreater than or equal to 3.

part a: describe the graph of the system of inequalities, including the shading and the types of lines graphed. provide a description of the solution set. (4points)

part b: is the point (5,1) included in the solution area for the system? justify your answer mathematically. (3points)

part c: choose a point in the solution set and interpret what it means in terms of the real-world context. (3points)

need !