Interpret algebraic solutions and state them as meaningful contextual answers, including restrictions or whole-number constraints when needed.
Turn a solved inequality into a context range
Problem
The solved inequality is \(x~\le~5\), where \(x\) is a nonnegative whole-number count of extra guests. Apply the contextual domain and report the complete set with units.
Big Picture
What this problem is really about
Start with the algebraic set of all values at or below the given inclusive bound. Then apply what x counts: extra guests cannot be negative or fractional, so the contextual domain is the nonnegative whole numbers. The meaningful answer is the intersection of those two sets, listed completely and labeled with guest units.
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