To select the last member of a tennis team, Alan, Bill, and Colin playoff as follows. Two of them will be randomly chosen to play each other, and the winner will play the third person. The winner of the second game will be chosen for the team. If the probability of Alan beating Bill is 0.3, of Alan beating Colin is 0.6, and of Bill beating Colin is 0.4, draw a tree diagram to find the probability that Alan will win his way into the team.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part 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 (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)