Determine whether the binary relation R on Z, where aRb means a^2 = b^2, is reflexive, symmetric, antisymmetric, and/or transitive.© BrainMass Inc. brainmass.com March 4, 2021, 5:55 pm ad1c9bdddf
aRb if and only if a^2=b^2.
1. R is reflexive since a^2=a^2 is always true and this implies ...
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.