A computational tool designed to determine the region in a multi-dimensional space that satisfies a given set of linear inequality constraints. It often presents the solution graphically, shading the area representing all possible combinations of variable values that fulfill every inequality simultaneously. For example, when two inequalities involving ‘x’ and ‘y’ are input, the tool identifies the section of the Cartesian plane where both conditions hold true.
These tools offer significant advantages in fields such as optimization, economics, and resource allocation. They automate a process that can be tedious and error-prone when performed manually, especially with systems involving numerous variables or complex constraints. Historically, graphical methods were used, but the advent of computing power has enabled more efficient and precise determination of feasible regions.