The graph of a linear inequality is the set of points that represent all of the possible solutions of that inequality.
An equation defines a boundary, which divides the coordinate plane into two half-planes. The boundary may or may not be included in the solution. When it is included, the solution is a closed half-plane. When not included, the solution is an open half-plane.
Hi, Bob! Are you explaining how to graph inequalities?
Yeah, Abby. Want to help?
After graphing the line of your inequality, use a test point. If it is true, shade the side of the inequality that includes the test point. If not, shade the opposite side.
First, you must solve for y in terms of x. Then, determine whether you need to graph with a dashed line or a solid line.
If the inequality contains < or >, use a dashed line. If it contains ≤ or ≥, use a solid line.