For a, b R define aRb to mean that |a b| < 5. Prove or disprove each of the following: 1. The relation R is reflexive. 2. The relation R is symmetric. 3. The relation R is transitive.
Hi Candidate,
Reflexive relation on set is a binary element in which every element is related to itself. ... Consider, for example, a set A = {p, q, r, s}. The relation R1 = {(p, p), (p, r), (q, q), (r, r), (r, s), (s, s)} in A is reflexive, since every element in A is R1-related to itself. Since, here the relationship for reflexive relation is satisfied for |ab|<5.
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