Question

professor shepherd is packing up the books in she office to move to a new location. a small box can hold 41 books and a large box can hold 26 books. in total, these boxes must hold at least 580 books, which is the total number of books in the professors office. select the inequality in standard form that describes this situation. use the given numbers and the following variables.\\(x = \text{the number of small boxes}\\)\\(y = \text{the number of large boxes}\\)\\(26x + 41y \geq 580\\)\\(41 + x + 26 + y \geq 580\\)\\(26 + x + 41 + y \geq 580\\)\\(41x + 26y \geq 580\\)

Explanation:

Step1: Define total books per box type

Total books from small boxes: $41x$
Total books from large boxes: $26y$

Step2: Set total inequality

Sum of books ≥ minimum required:
$41x + 26y \geq 580$

Answer:

$41x + 26y \geq 580$