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Solving Linear Inequalities (Advanced)

Solving Linear Inequalities (Advanced)
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2020-03-15 22:00
Coordinate GeometryInequalitySlider Animation
This is an advanced exercise for solving linear inequalities with linear expressions on both sides. Presented as a game, it helps students master the skills of solving linear inequalities. It uses commands like RandomElement, Random, If, Simplify, and others in GeoGebra, suitable for high school students or math enthusiasts.

GeoGebra Commands & Parameters

  1. RandomElement(listcoeffA1C1) → linel3coeffx
  2. RandomElement({1, 2, 1, 3, 1, 5, 1}) → ansvaldenom
  3. Random(-5, 7) → ansvalnum
  4. RandomElement({-3, -2, -1, 2, 3, 4, 5}) → factora
  5. If(abs((answervalue * factora)) - floor(abs((answervalue * factora))) ≟ 0, RandomElement[listcoeffB1] - (answervalue * factora), RandomElement[listcoeffB1]) → linel3const
  6. If(Length[Coefficients[A12]] ≟ 1, {0, Element[Coefficients[A12], 1]}, Coefficients[A12]) → listcoeffA10
  7. If(Element[listcoeffA10, 1] ≟ 0 ∨ Element[listcoeffA10, 2] ≟ 0, 1, GCD[{Element[listcoeffA10, 1], Element[listcoeffA10, 2]}]) → A10coeffHCF
  8. Simplify(x - x + ((answervalue * factora) * ansvaldenom)) → C16
  9. Coefficients(C12) → listcoeffC10
  10. RandomElement(Join[{Remove[{-1, 1}, {If[Element[listcoeffC10, 1] < 0 ∧ Element[listcoeffC10, 2] < 0 ∨ Element[listcoeffC10, 1] < 0, -1, 1]}], {If[Element[listcoeffC10, 1] < 0 ∧ Element[listcoeffC10, 2] < 0 ∨ Element[listcoeffC10, 1] < 0, -1, 1]}}]) → C9coeffouter
  11. If(Element[listcoeffC10, 1] ≟ 0 ∨ Element[listcoeffC10, 2] ≟ 0, 1, (GCD[Element[listcoeffC10, 1], Element[listcoeffC10, 2]] * C9coeffouter)) → C10coeffHCF
  12. Random(1, 4) → SelectedIneqListIndexNum
  13. Random(1, 4) → rr
  14. Random(1, 10) → bb
  15. Random(1, 10) → cc
  16. If(texte1 ≟ "" + dd, 1, 0) → vrai
  17. If(t > -4.9, Random[1, 4] + 0, Random[1, 4]) → i
  18. If(rr ≟ 1, A, If[rr ≟ 2, B, If[rr ≟ 3, C, D]]) → M
  19. If(rr ≟ 1, B, If[rr ≟ 2, C, If[rr ≟ 3, D, A]]) → N
  20. If(rr ≟ 1, C, If[rr ≟ 2, D, If[rr ≟ 3, A, B]]) → P
  21. If(rr ≟ 1, D, If[rr ≟ 2, A, If[rr ≟ 3, B, C]]) → Q
  22. If(factora < 0, If[SelectedIneqListIndexNum < 2, 2, If[SelectedIneqListIndexNum > 3, 3, If[SelectedIneqListIndexNum < 3, 1, 4]]], SelectedIneqListIndexNum) → DisplayIneqListIndexNum
  23. If(SelectedIneqListIndexNum > 2, If[SelectedIneqListIndexNum > 3, 3, 4], If[SelectedIneqListIndexNum < 2, 2, 1]) → distractor1symbolIndex
  24. Simplify(g(x) / factora) → g_0
  25. RandomElement({1, 1, -1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 5, 1, -2}) → K1
  26. RandomElement({1, RandomElement[{2, 3, -2, -3}]}) → M1
  27. RandomElement(listcoeffB1) → B1
  28. Random(-15, 15) → D1
  29. RandomElement({0, 1, 2, 3, RandomElement[Remove[listcoeffA1C1, {Element[listcoeffB1, IndexOf[B1, listcoeffB1]]}]]}) → A1
  30. RandomElement(Remove[listcoeffA1C1, {A1, Element[listcoeffB1, IndexOf[B1, listcoeffB1]]}]) → C1
  31. Coefficients(A4) → line2leftcoeff
  32. Coefficients(C4) → line2rightcoeff
  33. Simplify(A4) → A5
  34. Simplify(C4) → C5
  35. Simplify(A6) → A7
  36. If(C5(3) ≟ C5(0), C5(0) - A5(0), C5(0) - A5(0) - C5(0) - A5(0)) → C5(0)
  37. Simplify(C6) → C7
  38. Text(Element[ListIneqSymGenerated, SelectedIneqListIndexNum]) → B20
  39. FractionText(factora) → D20
  40. Simplify(x - x + answervalue) → C20
  41. RandomElement(listcoeffB1) → linel2const2
  42. If(factora < 0, Element[ListIneqSymGeneratedNegative, SelectedIneqListIndexNum], Element[ListIneqSymGenerated, SelectedIneqListIndexNum]) → B16
  43. FractionText(answervalue) → E20
  44. Ellipse(A - (circleradius, 0), A + (circleradius, 0), A + ((circleradius * ellipseaxisfactor), 0)) → c
  45. Ellipse(B - (circleradius, 0), B + (circleradius, 0), B + ((circleradius * ellipseaxisfactor), 0)) → k
  46. Ellipse(D - (circleradius, 0), D + (circleradius, 0), D + ((circleradius * ellipseaxisfactor), 0)) → q
  47. Ellipse(C - (circleradius, 0), C + (circleradius, 0), C + ((circleradius * ellipseaxisfactor), 0)) → r

AI Drawing Prompt Reference

Create a coordinate geometry illustration showing the solution of linear inequalities. Include two lines and inequality symbols, controlled by sliders, with randomly generated values and expressions to demonstrate the solving process. Draw two lines first, then fill the region according to the inequality symbols, and finally use ellipses and text to annotate key points and parameter values.
The prompt above was compiled from the original drawing commands and is for reference only.