Question

write inequalities to represent the situations below.
the vehicle’s fuel efficiency is no less than 40 miles per gallon.
use f to represent the vehicle’s fuel efficiency (in miles per gallon).
at the airport, each piece of luggage to be checked in must weigh at most 40 pounds.
use w to represent the weight (in pounds) of a piece of luggage that can be checked in.

Explanation:

Step1: Analyze fuel efficiency situation

The vehicle's fuel efficiency \( f \) is no less than 40 miles per gallon. "No less than" means \( f \) is greater than or equal to 40. So the inequality is \( f \geq 40 \).

Step2: Analyze luggage weight situation

Each piece of luggage \( w \) must weigh at most 40 pounds. "At most" means \( w \) is less than or equal to 40. So the inequality is \( w \leq 40 \).

Answer:

For fuel efficiency: \( f \geq 40 \)
For luggage weight: \( w \leq 40 \)