Question

elam is packing his room to move into a new house. a small box can hold 8 books without breaking, while a large box can hold 12 books without breaking. he has at most 160 books to pack and less than 30 boxes total. let s represent the number of small boxes and l represent the number of large boxes. the inequalities s ≥ 0 and l ≥ 0 are part of the system that models this scenario. which inequalities complete the system? ○ s - l < 30 8s - 12l ≤ 160 ○ s + l < 30 8s + 12l ≤ 160 ○ s + l > 30 8s + 12l ≤ 160 ○ s + l < 30 8s + 12l ≥ 160

Explanation:

Step1: Define box count inequality

Total boxes are less than 30:
$s + l < 30$

Step2: Define book capacity inequality

Total books ≤ 160, small boxes hold 8 each, large hold 12 each:
$8s + 12l \leq 160$

Answer:

s + l < 30
8s + 12l ≤ 160