Interpret algebraic solutions and state them as meaningful contextual answers, including restrictions or whole-number constraints when needed.
Turn a solved inequality into a discrete answer set
Problem
Mia is packing prize bags for a school event. She has already solved the inequality for the number of prize bags, \(b\), and got \(b~\le~4.5\). Since \(b\) represents a number of bags, what are the meaningful possible values of \(b\)?
Big Picture
What this problem is really about
The solved inequality describes every numerical value at or below four and one-half, but b counts complete prize bags. Intersect that bound with the nonnegative whole numbers, excluding fractions and negatives. List every whole-number count that remains and verify the cutoff by checking the greatest permitted integer and the next integer above it.
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