Inequalities and Their Graphs

Front

boundary

Back

An equation defines the boundary or edge for each half-plane.

Front

compound inequality

Back

A compound inequality containing "and" is true if both of the inequalities it contains are true.

Front

half-plane

Back

The solution set for an inequality that contains two variables consists of many ordered pairs which fill a region on the coordinate plane called a half-plane.

Front

intersection

Back

The graph of a compound inequality containing "and" is the intersection of the graphs of the two inequalities.

Front

union

Back

The graph of a compound inequality containing "or" is the union of the graphs of the two inequalities.

Front

open half-plane

Back

An open half-plane is the half of a coordinate grid that contains all solutions to an inequality, not including the boundary line.

Front

set-builder notation

Back

Set-builder notation is a way of writing a solution set.