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Graphing Basic Linear Inequalities

Graphing Basic Linear Inequalities
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2020-11-09 22:16
Coordinate GeometryInequalityGraphing
This example demonstrates how to graph basic linear inequalities and provides feedback. Key mathematical concepts include inequalities and coordinate geometry. It uses commands like Random, Point, DynamicCoordinates, and Vector in GeoGebra. Suitable for students in middle school and above learning the graphical representation of inequalities.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → a
  2. Point(b) → A
  3. Random(1, 4) → e
  4. Random(0, 1) → r
  5. DynamicCoordinates(A, round(x(A)), 1) → B
  6. Vector((x(B) + 0.4, 1), (11, 1)) → u
  7. Vector((x(B) - 0.4, 1), (-11, 1)) → v

AI Drawing Prompt Reference

On a coordinate plane, first place a randomly chosen point A with x(A) in [-10, 10] and a randomly set y-value b generated by the given setup. Define a point B from A so that B has x(B) equal to round(x(A)) while y(B) is fixed at 1. Then draw two vectors starting near B: vector u starts at (x(B)+0.4, 1) and points toward (11, 1), and vector v starts at (x(B)-0.4, 1) and points toward (-11, 1). Visualize both vectors to show the symmetric directions about x(B).
The prompt above was compiled from the original drawing commands and is for reference only.