The solutions to a system of inequalities are all the values for the variables that make all of the inequalities true.

This graph shows a system of two inequalities. The solutions of the system are all the coordinate pairs that make both inequalities true. On the graph, the solution is shown as all the points in the region where the graphs of the two inequalities overlap.  

A graph of two intersecting inequalities on a coordinate plane. The line x + y < 5 goes through the points 0 comma 5 and 5 comma 0. The region above the dashed line is shaded. The line 3 x - 2 y < 0 goes through the points 0 comma 0 and 4 comma 6. The region below the dashed line is shaded.

Two or more inequalities that represent the constraints in the same situation form a system of inequalities.