Singh: For each relation R described below, determine if R is reflexive, symmetric, transitive, anti-symmetric. In each case, if R is an equivalence relation, describe the equivalence classes. Two sequences of real numbers (a_n ) and (b_n ) are eventually equal if there exists some K∈Z such that a_k=b_k for all k≥K. Let A be the set of all sequences of real numbers, and define R by (a_n ) R (b_n ) if and only if (a_n ) and (b_n ) are eventually equal. A=P(Z)(power set of Z) and let X⊆Z be a fixed set.Define R on A by BRC if and only if B∩X=C∩X.