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 sibling of"
A)Reflexive and symmetric; not an equivalence relation
B)Reflexive and transitive; not an equivalence relation
C)Symmetric and transitive; not an equivalence relation
D)Reflexive, symmetric and transitive; equivalence relation

Question

Quizplus · Accepted Answer

The relation "is a sibling of" is symmetric (if A is a sibling of B, then B is a sibling of A) and transitive (if A is a sibling of B and B is a sibling of C, then A is a sibling of C), but it is not reflexive (a person is not a sibling of themselves). Therefore, it is not an equivalence relation.

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