Relate a function's domain to its graph and to the real-world quantities it describes.
Choose valid input constraints for a situation
Problem
Use \(n\) for the number of tickets. Represent the domain of whole-number ticket counts from \(0\) through \(50\).
Big Picture
What this problem is really about
A valid contextual domain must capture the input type as well as its numerical bounds. We’ll use the fact that tickets are counted to require whole numbers, then interpret the wording at the lower and upper limits to decide whether each boundary is allowed. Combining all three conditions avoids admitting fractional tickets or accidentally dropping a feasible endpoint.
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