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Solving Multi-Step 1-variable Inequalities

Solving Multi-Step 1-variable Inequalities
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2017-04-22 01:35
FunctionCoordinate GeometryInequality
This example demonstrates the graphical process of solving multi-step one-variable inequalities. Key math concepts include inequality solving methods, number line representation, and interval concepts. Construction highlights involve commands like Random for generating random numbers, If for conditional logic, Textfield for displaying text, Line for drawing lines, Point for creating points, and Vector for generating vectors, among others. Suitable for middle school and above students for understanding and practicing inequality solving techniques.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → p_2
  2. Random(-5, 5) → q_1
  3. Random(1, 4) → k
  4. Random(-10, 10) → c
  5. If(c ≟ 0, Random[1, 10], c) → f
  6. Random(-10, 10) → d
  7. Random(-10, 10) → e
  8. If(f > 0, p, o) → s
  9. If(f > 0, o, p) → u
  10. If(f > 0, n, m) → t
  11. If(f > 0, m, n) → r
  12. Random(-10, 10) → a_1
  13. If(a_1 ≟ 0 ∨ a_1 ≟ (-f), Random[11, 20], a_1) → b_1
  14. If(q_1 ≟ 0 ∨ b_1 ≟ (-((q_1 * f))) ∨ b_1 ≟ (-f), -1, q_1) → r_1
  15. If(e_2 > 0, x ≥ w_1, x ≤ w_1) → d_2
  16. If(e_2 > 0, x ≤ w_1, x ≥ w_1) → c_2
  17. If(e_2 > 0, x < w_1, x > w_1) → b_2
  18. If(e_2 > 0, x > w_1, x < w_1) → a_2
  19. If(k_2 > 0, x < j_2, x > j_2) → l_2
  20. If(k_2 > 0, x > j_2, x < j_2) → m_2
  21. If(k_2 > 0, x ≤ j_2, x ≥ j_2) → n_2
  22. If(k_2 > 0, x ≥ j_2, x ≤ j_2) → o_2
  23. If(g_1 > 0, j_1, i_1) → m_1
  24. If(g_1 > 0, i_1, j_1) → n_1
  25. If(g_1 > 0, k_1, l_1) → o_1
  26. If(g_1 > 0, l_1, k_1) → p_1
  27. Textfield(b) → InputBox1
  28. If(Type ≟ 1, Element[list1, k, 1], If[Type ≟ 2, Element[list2, k, 1], If[Type ≟ 3, Element[list4, k, 1], If[Type ≟ 4, Element[list3, k, 1], If[Type ≟ 5, Element[list5, k, 1], x > 2]]]]) → q
  29. If(Type ≟ 1, Element[list1, k, 2], If[Type ≟ 2, Element[list2, k, 2], If[Type ≟ 3, Element[list4, k, 2], If[Type ≟ 4, Element[list3, k, 2], If[Type ≟ 5, Element[list5, k, 2], x > 2]]]]) → v
  30. Line(A, xAxis) → f_3
  31. Point(f_3) → C
  32. Vector(B + (0.15, 0), C) → w_2

AI Drawing Prompt Reference

Draw a number line and mark the solution set of an inequality. First, generate several random numbers as parameters for the inequality. Then, plot the solution set based on these parameters, using different colors and shapes to represent different intervals. Finally, add some text annotations next to the number line to explain the solving method and interval concepts.
The prompt above was compiled from the original drawing commands and is for reference only.