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Relations : Reflexive, Symmetric and/or Transitive

Determine if the relation R on the set of all people is reflexive, symmetric and/or transitive where (x,y) "E" R if and only if x and y live within one mile of each other.

NOTE: I cannot correctly indicate the symbol to show "is a member of" so I have used "E" in it's place.

Solution Summary

The properties of a given relation are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.