Two pumps at a local water facility can only run individually. Pump #1 can move 120 gallons per hour while Pump #2 can move 200 gallons per hour. In total the two pumps must move at least 3,200 gallons of water per day. Let x represent the number of hours that Pump #1 runs and let y represent the number of hours that Pump #2 runs.

(a) A day only has 24 hours in it so the combined time the two pumps can run can be at most 24. Write an inequality involving x and y that models this statement.

(b) Write an inequality involving x and y that models the fact that they must move at least 3,200 gallons of water in a day.​