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 )
○ ( r < 37 ) or ( r > 42 )
○ ( 37 < r geq 42 )
○ ( 37 > r geq 42 )

Explanation:

Step1: Analyze the first condition

If the driver leaves by 7:00 a.m., the route time \( r \) is less than 37 minutes. So, we can write this as \( r < 37 \).

Step2: Analyze the second condition

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

Step3: Combine the two conditions

The time \( r \) either satisfies \( r < 37 \) (when leaving by 7:00 a.m.) or \( r \geq 42 \) (when leaving after 7:00 a.m.). So the inequality representing the time \( r \) is \( r < 37 \) or \( r \geq 42 \).

Answer:

\( r < 37 \) or \( r \geq 42 \) (corresponding to the first option: \( r<37 \) or \( r\geq 42 \))