Represent constraints and systems, then interpret viable and non-viable solutions in modeling contexts.
Identify missing constraints that make a model feasible
Problem
Use the open-box diagram for a \(10\text{-}by-12\) sheet with \(x-by-x\) corner cuts. Find the physical constraint on \(x\) that keeps every box dimension positive.
Read every physical dimension from the cut-and-fold diagram before forming the constraint. The cut size, the shortened width, and the shortened length must all be positive, with each corner cut removing the variable from both ends of a side. Intersect all three inequalities; the shorter sheet dimension supplies the tighter upper limit.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
