Question

Give an example of a non-empty set and a relation on the set that satisfies each
of the following properties. Draw a digraph of the relation.
(i) reflexive (ii) symmetric (iii) anti-symmetric (iv) transitive.
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Answer 1

Answer:

set with a relation R may not satisfy the transitivity property, but then, one may wonder whether it is possible to ”complete” the set with more.