Let $R$ be a relation over the set $N imes N$ defined by $(a, b) R(c, d) \Leftrightarrow a+d=b+c$.

Question

Let $R$ be a relation over the set $N 	imes N$ defined by $(a, b) R(c, d) \Leftrightarrow a+d=b+c$. Then $R$ is

Professor PC Thomas Classes · Answer

Relation structure rigidly mirrors equivalency (reflexive, symmetric, transitive via component balancing).