Represent constraints and systems, then interpret viable and non-viable solutions in modeling contexts.
Write a polynomial constraint for a design or revenue context
Problem
A design has area \(x(20~-~x)\) and requires area at least \(75\). Write the polynomial constraint and feasible design domain.
Big Picture
What this problem is really about
Keep the two design dimensions visible as factors, since their product is the modeled area. Translate “at least” with an inclusive lower bound, then separately require each dimension to stay positive. The inequality and the feasible domain are both part of the constraint; omitting either one describes a different set of designs.
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