Graph linear inequalities and systems of linear inequalities as half-plane solution regions.
Interpret a feature of a feasible-region graph
Problem
Items \(x\) cost \(\$3\) and items \(y\) cost \(\$2\) under a \(\$30\) budget. For boundary \(3x+2y=30\), identify resource value/unit and constraint status.
The boundary should be interpreted by connecting each algebraic piece back to the context. We’ll turn each item count into its resource contribution, determine what total the boundary equation fixes, and compare that equality with the original constraint. Then we’ll distinguish what is true on the boundary from what is true in the interior and decide whether the line represents one plan or many.
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.
