A car rental company offers the following two plans for renting a car:

Plan A: \(\$32\) per day and \(13\) cents per mile

Plan B: \(\$45\) dollars per day with free unlimited mileage

How many miles must one drive in order to justify choosing Plan B?

One must drive more than miles to justify choosing Plan B. In other words, it’s more economical to use plan B if your number of miles driven will be in the interval (answer with interval notation).