Prove or disprove the following statements a Let R be a rela

Prove or disprove the following statements:
(a) Let R be a relation on the set Z of integers such that xRy if and only if xy 1. Then, R is irreflexive.
(b) Let R be a relation on the set Z of integers such that xRy if and only if x = y + 1 or x = y – 1. Then, R is irreflexive.
(c) Let R and S be reflexive relations on a set A. Then, R – S is irreflexive.

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