# Systems of linear inequalities

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

Example:

Graph the system of inequalities

Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.

The solution region which is the intersection of the half-planes is shown in a darker shade

Usually only the solution region is shaded which makes it easier to see which region is the solution region

**Video lesson:** Graph the system of
inequalities

**Exponents and exponential functions, Properties of exponents**