Question: For the relations below, explain why the relation does or does not satisfy each of the properties reflexive,symmetric, antisymmetric, and transitive.
• "isBrotherOf" on the set of people
• The relation R = {(x, y) | x2 + y2 = 1} for real numbers x and y
• The empty relation Ø (i.e., the relation with no ordered pairs for which it is true) on the set of integers.
• The empty relation Ø (i.e., the relation with no ordered pairs for which it is true) on the empty set.
Give the answer of given question and also provide details.