Solved: Can a relation on a set be neither reflexive nor

Chapter 8, Problem 8.1.13

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QUESTION:

Can a relation on a set be neither reflexive nor irreflexive?

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QUESTION:

Can a relation on a set be neither reflexive nor irreflexive?

ANSWER:

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A relation R on a set A is called a reflexive relation if for all , and when for every , The relation is known as irreflexive relation.

It is possible that a relation on a set can be neither reflexive nor irreflexive.

For example, let us consider the set

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