Inequalities and Graphs

Inequalities and Graphs
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2015-04-14 22:00
This example demonstrates the graphical representation of inequalities. It covers basic concepts of inequalities and graphs. Using GeoGebra commands such as Point, OrthogonalLine, Intersect, and Segment, the construction of inequality graphs is illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(xAxis) → a
  2. Point(xAxis) → b
  3. OrthogonalLine(a, xAxis) → a_1
  4. OrthogonalLine(b, xAxis) → b_1
  5. Intersect(r, a_1, (-4.448146737620719, 0.4899762161604449)) → C
  6. Intersect(r, b_1, (-3.3771688407900564, 1.732881389487021)) → D
  7. Segment(a, C) → c
  8. Segment(b, D) → d
  9. OrthogonalLine(C, yAxis) → e
  10. OrthogonalLine(D, yAxis) → i
  11. Intersect(i, yAxis) → E
  12. Intersect(e, yAxis) → F
  13. Segment(D, E) → j
  14. Segment(C, F) → k