Question: Consider the set A - {1, 3, 5} . a) How many relations on A are there? b) Give an example of a relation on

Consider the set A - {1, 3, 5} . a) How many relations on A are there? b) Give an example of a relation on A which is reflexive. Find the domain and the range of your example relation. c) Give an example of a relation on A which is not reflexive. Find the domain and the range of your example relation. d) Let R - {(1, 3) , (3, 5) , (5, 3) } be a relation on A. Determine the inverse relate h of R denoted by R 1. Is R' symmetric? Hint. If R is a relation on A, the inverse relation of R. is defined as R 1 - {(b, a) e A x A | (a, b) e R)

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