**Interactive** System

of Linear Inequalities

Click and drag on the points below and the system of linear inequalities will adjust accordingly. (Full sized interactive system of linear inequalities)

#### Use it to enable or disable snapping

#### Click on the equation to change inequality type between ≤, <, > and ≥

#### You can drag the points to change the line equation

Below are the graphs of the linear inequalities: y < x + 1 and y > x.

Pictured above is the system of inequalities made up the same two linear inequalities:

y < x + 1

y > x

When we take both of the linear inequalities pictured above and graph them on same Cartesian plane,
we get a system of linear inequalities. The **solution** of this system is the yellow region
which is the area of overlap. In other words, the solution of the system is the region where both
inequalities are true. The **y coordinates** of all points in the yellow region are **both** greater than x + 1 as well as less than x.