The inequality 10.45b + 56.50 < 292.67 is used to find the number of boxes (b) that can be loaded on a truck without exceeding the weight limit of the truck. The solution is written as {b | b < 22.6}. Which statement best describes the meaning of the solution?

Question :

The inequality 10.45b + 56.50 < 292.67 is used to find the number of boxes (b) that can be loaded on a truck without exceeding the weight limit of the truck. The solution is written as {b | b < 22.6}. Which statement best describes the meaning of the solution?

The truck can hold more than 22 boxes.

The truck can hold more than 23 boxes.

The truck can hold up to 22 boxes.

The truck can hold up to 23 boxes.

Option C: The truck can hold up to 22 boxes.

Explanation:

Given that the inequality is is used to find the number of boxes can be loaded on a truck without exceeding the weight limit of the truck.

To determine the number of boxes, let us solve the inequality.

Thus, we have,

Subtracting both sides by 56.50, we get,

Dividing both sides by 10.45, we have,

This means that the number of boxes that can be loaded on a truck without exceeding the weight limit of the truck should be lesser than 22.6

Therefore, the truck can hold up to 22 boxes.

Hence, Option C is the correct answer.