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Check all properties that the following relations on the set of positive integers have: The relations are defined by (x, Y) € R if and only if the indicated condition is satisfied x and Y have a common prime factor A. reflexive B. symmetric C. irreflexive D. transitive E: antisymmetric (b) x _ y is a multiple of 3 A. symmetric B. antisymmetric C: irreflexive D. reflexive E. transitive (c) x and y are both prime A. transitive B. irreflexive C. symmetric D. reflexive E: antisymmetric (d) x and y are twin primes (they are primes and their distance is 2) A. symmetric B. irreflexive C.antisymmetric D. reflexive E: transitive

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