Question

on a certain day in june, the lowest recorded wind speed in a town was 10 miles per hour (mph) and the highest recorded wind speed was 24 mph. which inequality is true for all values of w, where w represents any wind speed, in mph, record in the town on this day?
a ( w leq 10 )
b ( w leq 14 )
c ( w geq 24 )
d ( 10 leq w leq 24 )

Explanation:

Step1: Analyze the lowest wind speed

The lowest recorded wind speed is 10 mph, so any wind speed \( w \) must be greater than or equal to 10, which is \( w \geq 10 \).

Step2: Analyze the highest wind speed

The highest recorded wind speed is 24 mph, so any wind speed \( w \) must be less than or equal to 24, which is \( w \leq 24 \).

Step3: Combine the two inequalities

Combining \( w \geq 10 \) and \( w \leq 24 \), we get \( 10 \leq w \leq 24 \).

Answer:

D. \( 10 \leq w \leq 24 \)