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Equality Relation on Integers

Equality Relation on Integers
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2013-10-03 05:03
SequenceCoordinate GeometryGeometric Construction
This example shows the Cartesian product of a subset of integers and overlays the given relation y=x. It involves the concept of integer sets and is constructed using GeoGebra commands like Sequence. Suitable for middle school and above students to learn about equivalence relations and sets.

GeoGebra Commands & Parameters

  1. Sequence(Sequence[(i, j), j, (-n), n], i, (-n), n) → list1
  2. Sequence((i, i), i, (-n), n) → list2
  3. Sequence(i, i, (-n), n) → list3

AI Drawing Prompt Reference

Draw the set of all integer pairs (-n, j) and (i, i) where j and i range from -n to n in a coordinate system, and overlay the line y=x to show the Cartesian product of integer sets and the relation.
The prompt above was compiled from the original drawing commands and is for reference only.