# UNsolve 2 variable linear equations & inequalities

- Author:
- Judah L Schwartz

- Topic:
- Equations, Inequalities, Linear Equations

The solution set of a linear equation in 2 variables, f(x,y) = 0, is a straight line in the x,y plane.
The solution set of a linear inequality is all the points in the x,y plane on one side of that line.
To UNsolve a linear equation or inequality, use the

**,***a***and***b***sliders in the rightmost panel to fix the solution set. The left panel will show the solution set. The center panel will show you a linear equation or inequality that has that solution set. You can use the***c***slider in the rightmost panel to see other linear equations or inequalities that have the same solution set. For a given solution set, how many equations or inequalities are there that have that solution set? How do you know? Can you prove it?***s*