System of Inequalities Demo by Savannah Bigelow
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This example demonstrates the solution set regions of a system of inequalities in a 2D plane, visually showing the boundaries and interiors of regions satisfying the conditions with different colors. Key math concepts include inequalities, polygonal regions, function graphs, and analytical geometry. Construction highlights involve Geogebra commands/objects: slider b (controlling parameters), function f (definition), point c (definition), point a (coordinates), and region d (display). Suitable for high school students learning linear programming and the relationship between functions and inequalities, or university foundational mathematics teaching.
GeoGebra Commands & Parameters
Numeric b(-0.2)f(x, y) = y ≥ (b * x) + 4Numeric c(0.5)a(x, y) = y < (c * x) + 1d(x) = x ≤ 25