Solving One-Variable Inequalities

Solving One-Variable Inequalities
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2016-10-13 12:03
This example demonstrates the process of solving one-variable inequalities using visual methods to help understand the representation of solution sets. Key math concepts involved include inequalities, linear functions, and geometric representations. Construction highlights the use of GeoGebra commands like Random, RandomElement, Simplify, LaTeX, Point, and Vector, along with objects such as points, vectors, text, and buttons to dynamically illustrate the solution of inequalities. Suitable for high school mathematics teaching and self-learning to deepen understanding of inequality solving methods.

GeoGebra Commands & Parameters

  1. Random(-7, 7) → c
  2. Random(-7, 7) → a1
  3. RandomElement({-2, -1, 1, 2}) → d
  4. Random(-7, 7) → b
  5. Random(-7, 7) → a
  6. Simplify(f) → f1
  7. RandomElement({">", "<", "≤", "≥"}) → e
  8. RandomElement({f1(x) > (a1 * (x - c)), f1(x) ≥ (a1 * (x - c)), f1(x) < (a1 * (x - c)), f1(x) ≤ (a1 * (x - c))}) → g
  9. Simplify(g) → g1
  10. LaTeX(g1) → text3
  11. Point(xAxis) → A
  12. Point(xAxis) → R
  13. Vector(A, R) → u