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Indicate if the following relation on the given set is reflexive, symmetric, transitive on a given set.
R where (x,y)R(z,w) iff x+z≤y+w on the set ℝxℝ.
It is reflexive because any real number can make x+z=y+w.
It is not symmetric because if x+z≤y+w it's not possible for x+z≥y+w.
It is transitive
Am I thinking about this correctly?
Thank you
R where (x,y)R(z,w) iff x+z≤y+w on the set ℝxℝ.
It is reflexive because any real number can make x+z=y+w.
It is not symmetric because if x+z≤y+w it's not possible for x+z≥y+w.
It is transitive
Am I thinking about this correctly?
Thank you