Question

Check all the statements that are true: A. The equality relation on the real numbers is an equivalence relation. B. If a relation is symmetric, it cannot be anti-symmetric. C. A relation from a set with n elements to itself can have up to elements. D. If is an equivalence relation, then . E. A function is a special relation. F. If a relation is anti-symmetric, it cannot be symmetric. G. The equality relation on the real numbers is anti-symmetric. H. If is a reflexive relation on a set S, then any two - related elements of S must also be related. I. The less than or equal relation on the real numbers fails to be an equivalence relation because it is reflexive and transitive but not symmetric. J. There are relations from a set with n elements to itself.

Answer 1

It can be noted that the true statements about the relations include:

A. The equality relation on the real numbers is an equivalence relation.

C. A relation from a set with n elements to itself can have up to elements.

E. A function is a special relation.

G. The equality relation on the real numbers is anti-symmetric.

H. If is a reflexive relation on a set S, then any two - related elements of S must also be related.

I. The less than or equal relation on the real numbers fails to be an equivalence relation because it is reflexive and transitive but not symmetric.

What is a relation?

It should be noted that a relation simply means the relationship between the set of values.

The information given about the relations above are true in these cases.

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