Graph and shade the points (if any) that satisfy the following system of linear inequalities. Then find the coordinates of all of the corner points: 12x + 2y < 58, 4х — 7у 2 -19, 8x + 9y 2 -15, x + 4y < 34 Which one of the following statements best describes your solution: A. There are no corner points, because there are no points that satisfy all of the inequalities. B. There are no corner points, because the shaded points constitute a single half-plane. C. There is exactly one corner point. D. There are exactly two corner points. E. There are exactly three corner points. F. There are exactly four corner points. G. There are exactly five corner points. H. There are more than five corner points. Statement: E • Part 2 Yes, that is correct. What are the corner points? Beginning with the corner point that is in the first quadrant and then proceeding around the bound in counter-clockwise order, enter the coordinates of the corner points: What is the corner that lies in the first quadrant: ( ) What is the corner that lies in the second quadrant: ( What is the corner that lies in the fourth quadrant: ( 出)

Please show/explain how to solve for the corner points, find the x and y-intercepts and how to graph the lines and find the feasible region. If elimination is needed to solve for the corner points show how to do that as well. 

Please show solutions for the corner points