In order for this relation to be an equivalence equation, it has to be reflexive, symmetric and transitive.

\textbf{Reflexive:}

All elements are related to themself

%REFLEXIVE

\textbf{Symmetric:}

All relations has its symmetric counterpart

%SYMMETRIC

\textbf{Transitive:}

All pair of relations where $xRy$ and $yRz$ has its transitive counterpart

%TRANSITIVE

Hence the relation is an equivalence relation