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* ≥ 2*x *and* **y* ≥ 4*x*² − 1.

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