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GeoGebraClasse GeoGebra

UNsolve 2 variable linear equations & inequalities

A linear equation in 2 variables can be written as f(x,y) = Ax + BY + C =0. The solution set of the equation 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 upper 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 bottom 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?