Question

write inequalities to represent the situations below.
to qualify for the championship, a runner must complete the race in no more than 45 minutes.
use t to represent the time (in minutes) of a runner who qualifies for the championship.

the vehicle’s fuel efficiency is at least 30 miles per gallon.
use f to represent the vehicle’s fuel efficiency (in miles per gallon).

Explanation:

Step1: Define runner's time inequality

"no more than 45" means ≤ 45.
$t \leq 45$

Step2: Define fuel efficiency inequality

"at least 30" means ≥ 30.
$f \geq 30$

Answer:

1. $t \leq 45$
2. $f \geq 30$