Question

write inequalities to represent the situations below.
the temperature inside the lab refrigerator is at most 45 °f.
use t to represent the temperature (in °f) of the refrigerator.

at the airport, each piece of luggage to be checked in must not weigh more than 50 pounds.
use w to represent the weight (in pounds) of a piece of luggage that can be checked in.

Explanation:

First Situation (Temperature in Refrigerator)

Step1: Understand "at most"

"At most 45°F" means the temperature \( t \) is less than or equal to 45.

Step2: Write the inequality

So the inequality is \( t \leq 45 \).

Second Situation (Luggage Weight)

Step1: Understand "not more than"

"Not more than 50 pounds" means the weight \( w \) is less than or equal to 50.

Step2: Write the inequality

So the inequality is \( w \leq 50 \).

Answer:

s:

• For the temperature situation: \( t \leq 45 \)
• For the luggage weight situation: \( w \leq 50 \)