Linear Inequalities Slider Demo

Linear Inequalities Slider Demo
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2015-10-24 04:04
This example dynamically demonstrates the solution set of linear inequalities on a coordinate plane using sliders. It covers core math concepts like linear inequalities, solution sets, number line representations, and region partitioning. GeoGebra commands and objects such as m1, yint1, a, a_1, a_2, a_3, b, c, d, e, text1, text2, m2, yint2, f, f_1, f_2, f_3, h, i, j, g, text3, text4, text5, text6 are used to draw lines, label inequality solutions, and adjust parameters dynamically. Suitable for high school students learning the geometric meaning of linear inequalities and classroom demonstrations.

GeoGebra Commands & Parameters

  1. Numeric m1(-4.8)
  2. Numeric yint1(3.2)
  3. a(x, y) = y < (m1 * x) + yint1
  4. a_1(x, y) = y ≤ (m1 * x) + yint1
  5. a_2(x, y) = y > (m1 * x) + yint1
  6. a_3(x, y) = y ≥ (m1 * x) + yint1
  7. Boolean b(false)
  8. Boolean c(false)
  9. Boolean d(false)
  10. Boolean e(false)
  11. Numeric m2(-1.0)
  12. Numeric yint2(1.0)
  13. f(x, y) = y < (m2 * x) + yint2
  14. f_1(x, y) = y ≤ (m2 * x) + yint2
  15. f_2(x, y) = y > (m2 * x) + yint2
  16. f_3(x, y) = y ≥ (m2 * x) + yint2
  17. Boolean h(false)
  18. Boolean i(false)
  19. Boolean j(false)
  20. Boolean g(false)