Graph linear inequalities and systems of linear inequalities as half-plane solution regions.
Use a test point to decide shading
Problem
Use test point \((0,0)\) for \(y>2x+1\).
Big Picture
What this problem is really about
A test point decides between the two sides of a boundary only after substitution. We’ll place its y-coordinate on the left, use its x-coordinate in the entire expression on the right, and evaluate the resulting comparison. If the statement is true, its side is included; if it is false, the opposite side is the solution region, so the rule must not be applied backward.
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.
