Satisfy the properties - reflexive and symmetric

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Reference no: EM13694430

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.

Reference no: EM13694430

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