If a bus driver leaves her first stop by 7: 00 a. m., her route will take less than 37 minutes. if she leaves after 7: 00 a. m., she estimates that the same route will take no less than 42 minutes. which inequality represents the time it takes to drive the route, r?

What we know about this situation that either she will take less than 37 minutes:

r<37

or she will take more than 42 minutes

r>42

so it means that she cannot take between 37 and 42 minutes.

The best way to write it is:
37>r v r>42

where "v" means "or" in mathematical notation