Question

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? r < 37 or r ≥ 42 r < 37 or r > 42 37 < r ≥ 42 37 > r ≥ 42

Answer 1

option (1) is correct.

r < 37 or r ≥ 42

Explanation:

Given : 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.

We have to represent the given situation using inequality and we have to choose the correct option from the given options.

the time it takes to drive the route is r,

Consider

Situation 1) If a bus driver leaves her first stop by 7:00 a.m., her route will take less than 37 minutes.

This can be represented using inequality as r < 37

Situation 2) If she leaves after 7:00 a.m., she estimates that the same route will take no less than 42 minutes.

This can be represented using inequality as r ≥ 42.

This means he can take either r < 37 or r ≥ 42. he cannot take the time in between .

Hence, option (1) is correct.