# A Discussion On Binary Relations : Reflexive, Symmetric, Antisymmetric, and/or Transitive

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Determine whether the binary relation R on Z, where aRb means a^2 = b^2, is reflexive, symmetric, antisymmetric, and/or transitive.

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#### Solution Preview

aRb if and only if a^2=b^2.

1. R is reflexive since a^2=a^2 is always true and this implies ...

#### Solution Summary

The solution is comprised of a concise but thorough discussion on binary relations; and is examined as to whether it is reflexive, symmetric, antisymmetric, and/or transitive.

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