

Systems of Linear InequalitiesHow to find the solution of Linear Inequality FunctionsRelated: Linear inequality  Interactive Linear Inequality  System of linear inequalities  Interactive system of linear inequalities
A System of linear inequalities is simply two or more linear inequalities on the same plane. In other words, a system of linear inequalities is just two or more inequalities together.
Interactive System of Linear InequalitiesClick and drag on the points below and the systemf of linear inequalites will adjust accordingly. (Full sized interactive system of linear inequalities)
Below are the graphs of the linear inequalities: y < x + 1 and y> x
Pictured on the left is the system of inequalities made up the same two linear inequalities from above: y < x + 1 When we take both of the linear inequalities pictured above and graph them on pme 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 yelow region are both greater than x+1 as well as less than x.
Example of a system of Linear Inequalities.
The picture below shows a system of linear inequalities. On the left is the graph of two linear inequalities. What is the solution to this system of linear inequalities? (Reminder: the solution is the region that both inequalities cover) Below is the graph of the following system of inequalities :
