Community College offers two short-term and long-term computer courses. The enrollment of x short-term computer course participants and y long-term computer course participants are based on the following constraints: I The maximum number of participants is 70.

II The number of short-term computer course participants is at least 20.

III The number of short-term computer course participants is no more than two times the number of long-term

computer course participants.

(a) Write three inequalities, other than x>0 and y0, for the above constraints.

(b) Using a scale of constraints. 2 cm to 10 participants on both axes, construct and shade the region R that satisfies all the given

(c) There are 48 participants who want to join the short-term computer course. Does the number of participants satisfy the system of linear inequalities constructed in (b)? Justify your answer.​