Consider the binary relation "is a sibling of" denoted by (S), where self(S)sister, self(S)brother, sister(S)self, brother(S)self, brother(S)brother, sister(S)sister, sister(S)brother and brother(S)sister. [It doesn’t matter, but you can ignore half-siblings, step-siblings, and blended families.] Does the binary relation (S) satisfy the following properties? Be sure to briefly explain your answers.
a. Reflexivity.
b. Symmetry.
c. Transitivity.
d. Preorder.
e. Equivalence relation.
