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