I have this question:2. Let R be a relation on Z with $$R = {(a,b) : |a−b| < 3}.$$
(1) Is R reflexive? (If yes, prove it; if no, give a counterexample)
(2) Is R symmetric? (If yes, prove it; if no, give a counterexample)
(3) Is R antisymmetric? (If yes, prove it; if no, give a counterexample)
(4)...