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Investigate Linear Inequalities

Investigate Linear Inequalities
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2016-01-06 00:52
FunctionCoordinate GeometryInequality
This example uses four lines to help students explore linear inequalities. Key mathematical concepts include the representation and solution set of linear inequalities. The construction summary involves commands like Textfield, If, TextToUnicode, etc., demonstrating the dynamic representation of the solution set of linear inequalities. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Textfield(m_1) → inputBox1
  2. Textfield(c_1) → inputBox2
  3. Textfield(m_2) → inputBox3
  4. Textfield(c_2) → inputBox4
  5. If(S_1 ≟ 1, If[t_1, "≥", ">"], If[S_1 ≟ -1, If[t_1, "≤", "<"], "="]) → sgn_1
  6. If(S_1 ≟ 1, y > f_1(x), If[S_1 ≟ -1, y < f_1(x), y = f_1(x)]) → C1
  7. If(S_2 ≟ 1, If[t_2, "≥", ">"], If[S_2 ≟ -1, If[t_2, "≤", "<"], "="]) → sgn_2
  8. If(S_2 ≟ 1, y > f_2(x), If[S_2 ≟ -1, y < f_2(x), y = f_2(x)]) → C2
  9. Textfield(c_3) → inputBox5
  10. If(S_3 ≟ 1, y > (0 * x) + c_3, If[S_3 ≟ -1, y < (0 * x) + c_3, y = (0 * x) + c_3]) → C3
  11. If(S_3 ≟ 1, If[t_3, "≥", ">"], If[S_3 ≟ -1, If[t_3, "≤", "<"], "="]) → sgn_3
  12. Textfield(d_1) → inputBox6
  13. If(S_4 ≟ 1, x > (0 * y) + d_1, If[S_4 ≟ -1, x < (0 * y) + d_1, x = (0 * y) + d_1]) → C4
  14. If(S_4 ≟ 1, If[t_4, "≥", ">"], If[S_4 ≟ -1, If[t_4, "≤", "<"], "="]) → sgn_4
  15. Textfield(m_1) → inputBox1_1
  16. Textfield(c_1) → inputBox2_1
  17. TextToUnicode("≤") → q
  18. Textfield(m_2) → inputBox3_1
  19. Textfield(c_2) → inputBox4_1
  20. If(a ∧ b ∧ c ∧ d, C1(x, y) ∧ C2(x, y) ∧ C3(x, y) ∧ C4(x, y), If[a ∧ b ∧ c, C1(x, y) ∧ C2(x, y) ∧ C3(x, y), If[a ∧ b ∧ d, C1(x, y) ∧ C2(x, y) ∧ C4(x, y), If[a ∧ c ∧ d, C1(x, y) ∧ C3(x, y) ∧ C4(x, y), If[b ∧ c ∧ d, C2(x, y) ∧ C3(x, y) ∧ C4(x, y)]]]]) → OverlapOfAll