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Linear Inequality Example

Linear Inequality Example
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2020-06-13 01:44
Coordinate GeometryInequalityGeometric Construction
This example demonstrates the graphical representation of linear inequalities. It involves key mathematical concepts such as linear inequalities, lines, and regions. Using GeoGebra commands like Point, Line, and Intersect, the graphical representation of linear inequalities is constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Textfield(f_1) → inputBox1
  3. Vector(x_1, y_1) → v
  4. Segment(f_x, F) → c_1
  5. Segment(E, F) → d
  6. Segment(A, x_1) → e
  7. Segment(B, y_1) → g
  8. Segment(B, y_1) → h
  9. Line(x_1, y_1) → i
  10. Line(A, B) → k
  11. Intersect(i, k) → Focus
  12. Textfield(c) → inputBox2
  13. Line(Focus, C) → n
  14. Intersect(n, e) → D
  15. Intersect(n, yAxis) → G
  16. Segment(G, C) → p
  17. Vector(G, C) → u
  18. Intersect(f_1, q, 1) → I
  19. OrthogonalLine(I, q) → r
  20. Intersect(r, xAxis) → J
  21. Vector(H, I) → w
  22. Vector(I, J) → z
  23. Vector(C, G) → s
  24. Vector(I, H) → t
  25. Vector(J, I) → u_1
  26. Ray(Focus, C) → g_1
  27. Point(a) → K
  28. Ray(C, K) → h_1
  29. Point(h_1) → L
  30. Vector(Focus, L) → f
  31. Line(Focus, L) → i_1
  32. Intersect(i_1, yAxis) → M
  33. Vector(P, O) → v_1
  34. Ray(G, G - (0, 1)) → j_1
  35. Ray(J, J - (1, 0)) → k_1
  36. Vector(M, L) → w_1