[tex]\text{Elam ispacking his room to move into a new house.}\\ \\ \text{let the number of small box is s and the number of large box be l.}\\ \\ \text{since he has at most 160 books to pack and less than 30 boxes total.}\\ \\ \text{so the total number of small and large boxes is less than 30. so}\\ \\ s+l <30\\ \\ \text{since the small box can hold 8 books and large box can hold 12 books}\\ \text{without breaking. and he has at most 160 books to pack. so we have}\\ \\ 8s+12l\leq 160[/tex]
[tex]\text{hence the system that models this scenario is given by the inequalities}\\ \\ s+l<30,\\ \\ 8s+12l\leq 160[/tex]
