Give an example of a relation on a set that is a) both symmetric and antisymmetric. b) neither symmetric nor antisymmetric.

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07-02-2022
Mathematics

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Give an example of a relation on a set that is a) both symmetric and antisymmetric. b) neither symmetric nor antisymmetric.

Sagot :

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topeadeniran2 topeadeniran2 · Answer 1 · 2022-02-17T11:24:55-05:00

It should be noted that a relation that's both symmetric and antisymmetric is R = {a, b) | a= b}.

What is a relation?

A relation in mathematics simply means the relationship between two or more variables.

In this case, the relation that's both symmetric and antisymmetric is R = {a, b) | a= b}.

On the other hand, a relation on a set that is neither symmetric nor antisymmetric will be R = {a, b) | a < = b}

This is not symmetric because a < b and v < a can never be butt true.

Learn more about relations on:

https://brainly.com/question/24779057

Sagot :

What is a relation?

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