Tell whether the relation is reflexive, symmetric, or transitive on the set of all people. Also tell whether the relation is an equivalence relation.
-"Is a son of"
A)Symmetric; not an equivalence relation
B)Reflexive; not an equivalence relation
C)Transitive; not an equivalence relation
D)None; not an equivalence relation

Question

Quizplus · Accepted Answer

The relation "is a son of" is not reflexive because no person is a son of themselves, not symmetric because if person A is a son of person B, it does not imply that person B is a son of person A, and it is transitive. However, due to the lack of reflexivity and symmetry, it is not an equivalence relation.

Tell Whether the Relation Is Reflexive, Symmetric, or Transitive on the Set