(b) Define the relation J on P(Z ) given by the following rule: (A, B) EJ iff Ir E Ady e Br cy. Prove that J is not an equivalence relation. i. Prove or disprove that J is reflexive. ii. Prove or disprove that J is symmetric. iii. Prove or disprove that J is transitive. iv. Prove or disprove that J is antisymmetric