Mathematics, 16.04.2020 20:03 staxmillz
Determine whether the given relation is reflexive, symmetric, transitive, or none of these. Justify your answers. Recall 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 every m, n is in ℤ, m P n ⇔ ∃ a prime number p such that p | m and p | n.
Answers: 1
is divided by some prime 
. Since 
it is true that 
then there is a 
, then 
and 
. 
and 
, but 3 is NOT related to 8 because no prime divide both numbers. 
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Determine whether the given relation is reflexive, symmetric, transitive, or none of these. Justify...
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