For the following relations on the set of POSITIVE integers

For the following relations on the set of POSITIVE integers, determine if it satisfies each of the following conditions:

Reflexive

Symmetric

Transitive

Equivalence Relation

m ? n ? 3 divides m ? n

m ? n ? 9 divides m+n

m ? n ? 19 divides mn

Reflexive

Symmetric

Transitive

Equivalence Relation

m ? n ? 3 divides m ? n

m ? n ? 9 divides m+n

m ? n ? 19 divides mn

Solution

YYYY

NYNN

NYNN

For the following relations on the set of POSITIVE integers, determine if it satisfies each of the following conditions: Reflexive Symmetric Transitive Equivale

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