Mathematics Homework Solutions
#18399
Binary Relations : Reflexive, Symmetric, Antisymmetric, and/or Transitive
Consider the following relation R on the set of positive integers:
R = {(x,y)|gcd(x,y)} = 1
Is this relation reflexive, symmetric, antisymmetric, and/or transitive?
A binary relation is examined as to whether it is reflexive, symmetric, antisymmetric, and/or transitive. The solution is concise but thorough.
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