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 geq 42 )

( 37 < r geq 42 )

( 37 > r geq 42 )

( r < 37 ) or ( r > 42 )

Explanation:

Step1: Analyze the first condition

If the driver leaves by 7:00 a.m., the time \( r \) is less than 37 minutes. So, this gives the inequality \( r < 37 \).

Step2: Analyze the second condition

If the driver leaves after 7:00 a.m., the time \( r \) is no less than 42 minutes. "No less than" means greater than or equal to, so this gives the inequality \( r \geq 42 \).

Step3: Combine the inequalities

Since the time \( r \) either satisfies the first condition or the second condition, we combine them with "or", resulting in \( r < 37 \) or \( r \geq 42 \).

Answer:

\( r < 37 \) or \( r \geq 42 \) (the first option in the given choices)