MathPlotAI Logo MathPlotAI

Solving Inequalities by Juan Carlos Ponce Campuzano

Solving Inequalities by Juan Carlos Ponce Campuzano
Loading the math board and drawing, please wait…
2014-09-11 16:34
FunctionCoordinate GeometryInequality
This example demonstrates the process of solving inequalities. Key mathematical concepts include the definition and solution methods of inequalities. Using GeoGebra commands such as Textfield, Intersect, Asymptote, etc., it dynamically shows the solution set of inequalities. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Textfield(f) → inputBox1
  2. Textfield(g) → inputBox2
  3. Intersect(f, g, -50, 50) → A, B, K, L, M, N, O, P, Q, R, S, T, C, U, V, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, D, G_1, E, F, G, H, I, J
  4. Asymptote(f) → list1
  5. Asymptote(g) → list2
  6. OrthogonalLine(A, xAxis) → a
  7. OrthogonalLine(B, xAxis) → b
  8. OrthogonalLine(C, xAxis) → c
  9. OrthogonalLine(D, xAxis) → d
  10. OrthogonalLine(E, xAxis) → e
  11. OrthogonalLine(F, xAxis) → h
  12. OrthogonalLine(G, xAxis) → i
  13. OrthogonalLine(H, xAxis) → j
  14. OrthogonalLine(I, xAxis) → k
  15. OrthogonalLine(J, xAxis) → l
  16. OrthogonalLine(K, xAxis) → m
  17. OrthogonalLine(L, xAxis) → n
  18. OrthogonalLine(M, xAxis) → p
  19. OrthogonalLine(N, xAxis) → q
  20. OrthogonalLine(O, xAxis) → r
  21. OrthogonalLine(P, xAxis) → s
  22. OrthogonalLine(Q, xAxis) → t
  23. OrthogonalLine(R, xAxis) → a_1
  24. OrthogonalLine(S, xAxis) → b_1
  25. OrthogonalLine(T, xAxis) → c_1
  26. OrthogonalLine(U, xAxis) → d_1
  27. OrthogonalLine(V, xAxis) → e_1
  28. OrthogonalLine(W, xAxis) → f_1
  29. OrthogonalLine(Z, xAxis) → g_1
  30. OrthogonalLine(A_1, xAxis) → h_1
  31. OrthogonalLine(B_1, xAxis) → i_1
  32. OrthogonalLine(C_1, xAxis) → j_1
  33. OrthogonalLine(D_1, xAxis) → k_1
  34. OrthogonalLine(E_1, xAxis) → l_1
  35. OrthogonalLine(F_1, xAxis) → m_1
  36. OrthogonalLine(G_1, xAxis) → n_1

AI Drawing Prompt Reference

Draw the graphs of two functions f and g, find their intersection points, and display these points. Then, draw perpendicular lines from each intersection point to the x-axis to help determine the solution set of the inequalities.
The prompt above was compiled from the original drawing commands and is for reference only.