Mathematics, 07.03.2020 03:29 jeepjose58
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.
(a) x and y have a common prime factor
A. symmetric
B. reflexive
C. transitive
D. antisymmetric
E. irreflexive
(b) x−y is a multiple of 3
A. irreflexive
B. reflexive
C. transitive
D. symmetric
E. antisymmetric
(c) x and y are both prime
A. symmetric
B. irreflexive
C. transitive
D. antisymmetric
E. reflexive
(d) x and y are twin primes (they are primes and their distance is 2)
A. irreflexive
B. antisymmetric
C. reflexive
D. transitive
E. symmetric
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Check all properties that the following relations on the set of positive integers have. The relation...
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