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Interval Notation Illustrator (II): Single Sets, Conjunctions, Disjunctions

Interval Notation Illustrator (II): Single Sets, Conjunctions, Disjunctions
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2016-09-12 20:06
FunctionInequalityGeometric Construction
In collections A1.ACE.1 - Create and solve equations and inequalities Linear Inequalities
This example dynamically illustrates all possibilities involving single sets, conjunctions, and disjunctions in interval notation. Key math concepts include inequalities, straight lines, Pythagorean theorem, transformations, polygons, and matrices. It uses GeoGebra commands like Segment and Ray with objects such as f, a, b, A, B, g, C, D, etc. Suitable for high school mathematics teaching or self-learning to understand interval notation and its combinations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → g
  2. Segment((x(A) + 0.3, 1), (x(B) - 0.3, 1)) → j
  3. Ray((x(A) - 0.3, 1), (x(D), y(D))) → i
  4. Ray((x(B) + 0.3, 1), (x(C), y(C))) → h
  5. Ray((x(A) + 0.3, 1), (x(C), y(C))) → k
  6. Ray((x(B) + 0.3, 1), (x(B) + 1, 1)) → l

AI Drawing Prompt Reference

Draw a horizontal line segment connecting two points, then extend rays upwards and downwards from both points, and draw two rays to the right from one point and one ray to the right from the other, forming a shape with a line segment and multiple rays to illustrate concepts of inequalities and interval notation.
The prompt above was compiled from the original drawing commands and is for reference only.