Define a Relation S on the Set of Positive Integers $$m S n \Leftrightarrow m \mid n$$

question 8

Essay

Define a relation S on the set of positive integers as follows: for all positive integers m and n, $$m S n \Leftrightarrow m \mid n$$
(a) Is S reflexive? Justify your answer.
(b) Is S symmetric? Justify your answer.

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Definitions:

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