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

Explanation:

Step1: Subtract 56.50 from both sides

$10.45b < 292.67 - 56.50 = 236.17$

Step2: Divide by 10.45

$b < \frac{236.17}{10.45} = 22.6$

Step3: Interpret as whole number

$b$ must be integer, so maximum $b=22$

Answer:

The truck can hold up to 22 boxes.