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According to the information given, the system of inequalities that models the situation is given by:
For the system, the variables are:
- x is the number of hours that Pump 1 runs.
- y is the number of hours that Pump 2 runs.
They will run for at least 18 hours in a day but obviously no more than 24 hours in a day, hence:
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 3,000 gallons of water per day, hence:
You can learn more about system of inequalities at brainly.com/question/14361489