# System of Inequalities

## System of Inequalities

A finite set of inequalities that can be verified simultaneously.

A system of inequalities in two variables can be represented in a Cartesian plane using the graph of each inequality. The points of intersection of these graphs are the solutions to the system.

### Example

Consider the system of inequalities defined by the following relationships:  y ≥ 2x  and  y ≥ 4x² − 1.

The solution set of this system may be represented by the shaded portion of the following graph: