Question

You are taking a road trip with a friend. If you and your friend split the driving, the trip will take you no more than 15 hours to complete. You want to drive less than 8 hours. Your friend agrees to drive at least 10 hours. Let x represent the hours you will drive, and y represent the hours your friend will drive. Which of the following would NOT be an inequality in this system?

Answer 1

The inequality x + y > 15 would not be valid in this system. This inequality states that the total number of hours that you and your friend drive together is greater than 15 hours, but we know that the trip will take no more than 15 hours to complete. Therefore, this inequality is not valid.

The other inequalities in the system are:

x < 8, because you want to drive less than 8 hours

y > 10, because your friend agrees to drive at least 10 hours

x + y <= 15, because the trip will take no more than 15 hours to complete.

These inequalities are all valid and can be used to determine the possible number of hours that you and your friend will drive on your road trip.