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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

Sagot :

Elam is preparing to move into a new home by packing his room. A large box can carry 12 books without shattering, compared to a small box's 8 volumes. inequalities complete the system is s + l ≤ 30.

s + l ≤ 30

8s + 12l ≤ 160

The first inequality says that the total number of boxes (small and large) must be less than or equal to 30. The second inequality says that the total number of books (8 books per small box and 12 books per large box) must be less than or equal to 160.

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