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System of Linear Inequalities Transformations

System of Linear Inequalities Transformations
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2015-02-08 20:45
Coordinate GeometryTransformationInequality
This example demonstrates the transformations of linear inequalities. It involves the core mathematical concepts of linear inequalities and their solution sets. By adjusting parameters m, b, a, c, d, e, one can observe the changes in the graphical representation of the inequalities. Suitable for students at the junior high school level and above to learn the properties and solutions of linear inequalities.

GeoGebra Commands & Parameters

  1. Numeric m(1.2)
  2. Numeric b(-3.0)
  3. a(x, y) = y < (m * x) + b
  4. Numeric c(-2.0)
  5. Numeric d(3.0)
  6. e(x, y) = y ≥ (c * x) + d

AI Drawing Prompt Reference

Draw two linear inequalities: y < 1.2x - 3 and y ≥ -2x + 3. Adjust parameters m, b, c, d to observe changes in the graphical representation of the inequalities.
The prompt above was compiled from the original drawing commands and is for reference only.