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.