Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
1. Writing and Graphing Inequalities
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Exercise 49 Page 60

Think about a situation where there can be 23 of something and we can add values but the sum cannot be more than 31.

See solution.

Practice makes perfect
Imagine that the principal of an elementary school orders that there must be no more than 31 students per class. There are already 23 students registered to study. In this case, the variable x describes the number of students who can join the class. Let's build the inequality using this scenario.
Information Math Symbols
Students who can join the class x
There are already 23 students in the class and x students can join them 23+ x
No more than 31 students can be in the class in total 23+ x ≤ 31

As we can see, our situation is modeled by the given inequality.