Question

write inequalities to represent the situations below. the cargo of the truck weighs no more than 2,400 pounds. use w to represent the weight (in pounds) of the cargo. henry exercises at least 30 minutes per day. use t to represent henrys amount of exercise (in minutes per day).

Explanation:

First Situation (Truck Cargo Weight)

Step1: Understand "no more than"

"No more than" means the weight \( w \) is less than or equal to 2400.

Step2: Write the inequality

So the inequality is \( w \leq 2400 \).

Second Situation (Henry's Exercise Time)

Step1: Understand "at least"

"At least" means the time \( t \) is greater than or equal to 30.

Step2: Write the inequality

So the inequality is \( t \geq 30 \).

Answer:

For the truck cargo: \( w \leq 2400 \)
For Henry's exercise: \( t \geq 30 \)