System of Linear Inequalities Solver

Understanding System of Linear Inequalities

A system of linear inequalities involves two or more linear inequalities with the same variables. The solution to such a system is the region in the coordinate plane that satisfies all inequalities simultaneously. Graphically, each inequality represents a half-plane, and the solution region is the intersection of these half-planes.

How to use this tool: Simply enter two linear inequalities in the format ax+by>c, ax+by<c, ax+by>=c, or ax+by≤c. For example, you can input inequalities like '2x+3y>6' and 'x-y≤2'. Click 'Visualize Solution' to see the graphical representation of the solution region. The shaded region on the plot represents the area that satisfies both inequalities. Use the reset button to clear inputs and the graph.

This tool is helpful for students learning algebra, educators teaching graphical solutions of inequalities, and anyone needing to visualize the feasible region defined by linear constraints.