Linear Inequalities

Terms for Module 5, Linear Inequalties.

Division Property of Inequalities

Multiplication Property of Inequalities

If each side of a true inequality is multiplied by a negative number, then the direction of the inequality symbol must be reversed to make the resulting inequality also true.

Compound Inequality

2 or more inequalities that are connected by the words “and” or “or”

Union

The graph of a compound inequality containing “or”.

Open Half-Plane

The solution of a linear inequality that does not include the boundary line. (Dashed line)

Boundary

The edge of the graph of a two-variable inequality that seperates the coordinate plane into regions.

Half-Plane

The region of the graph of an inequality on one side of a boundary.

Closed half-plane

The solution of a two-variable inequality on one side of a boundary. (Solid Line)

Intersection

The graph of a compound inequality containing “and”.

Inequality

A mathematical sentence that contains the symbols: <, >, ≤, ≥, or ≠.