SOLUTION: Explain if the following relation (R) is a reflexive, symmetric, or transitive one: R={(x,y)∈N×N:x is a factor of y} where N is the set of nonzero natural numbers.

Algebra ->  Functions -> SOLUTION: Explain if the following relation (R) is a reflexive, symmetric, or transitive one: R={(x,y)∈N×N:x is a factor of y} where N is the set of nonzero natural numbers.      Log On


   



Question 1126785: Explain if the following relation (R) is a reflexive, symmetric, or transitive one:
R={(x,y)∈N×N:x is a factor of y} where N is the set of nonzero natural numbers.

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
Reflexive;

        not symmetric;


                transitive.


The proof uses only ELEMENTARY PROPERTIES of divisibility natural numbers.