Determine whether the given relation is

Chapter 8, Problem 17E

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Problem 17E

Determine whether the given relation is reflexive, symmetric, transitive, or none of these. Justify your answers.ExerciseRecall that a prime number is an integer that is greater than 1 and has no positive integer divisors other than 1 and itself. (In particular, 1 is not prime.) A relation P is defined on Z as follows: For all m, n ∈ Z, m P n ⇔∃ a prime number p such that p | m and p | n.

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