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 23 boxes.
the truck can hold up to 23 boxes.
the truck can hold up to 22 boxes.
the truck can hold more than 22 boxes.

Explanation:

Step1: Analyze the inequality solution

The solution set is \( \{b|b < 22.6\} \). Since the number of boxes \( b \) must be a whole number (you can't have a fraction of a box in this context).

Step2: Interpret the whole - number constraint

When \( b < 22.6 \) and \( b\) is a non - negative integer (because you can't have a negative number of boxes), the maximum value of \( b \) is 22. So the truck can hold up to 22 boxes.

Answer:

The truck can hold up to 22 boxes.