Ava went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 40 grams of sugar and each bottle of juice has 20 grams of sugar. Ava purchased a total of 11 bottles of juice and soda which collectively contain 400 grams of sugar. Graphically solve a system of equations in order to determine the number of bottles of soda purchased, x, x, and the number of bottles of juice purchased, yy.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)