Lesson 1.5: Graphing Linear Functions/Inequalities

Front

Graph of a linear inequality

Back

The graph of a linear inequality is a half-plane with a boundary that is a straight line. The half-plane is shaded to indicate all points contained in the region are solutions of the inequality.

Front

Definition of a boundary

Back

A boundary is a line or curve that separates the coordinate plane into two half-planes.

Front

Solid boundary in inequalities

Back

The boundary is solid when the inequality contains ≤ or ≥, indicating that the points on the boundary are included in the solution, creating a closed half-plane.

Front

Dashed boundary in inequalities

Back

The boundary is dashed when the inequality contains < or >, indicating that the points on the boundary do not satisfy the inequality, resulting in an open half-plane.

Front

Definition of a constraint

Back

A constraint is a condition that a solution must satisfy. Each solution of the inequality represents a viable, or possible, option that satisfies the constraint.