Question: Suppose is a binary relation that can be applied to any two natural numbers (i.e. positive integers). Given any two , we say if is

Suppose is a binary relation that can be applied to any two natural numbers (i.e. positive integers). Given any two , we say if is wholly divisible by ? (i.e. without any remainder). For example, 8 ? 2 because 8 2 = 4, but 7 ¬? 3 because 7 3 = 2 1 3 . Hint: For any question below to which the answer is “no,” a single counterexample is all that is required as proof.

a. Is reflexive Explain your answer.

b. Is complete Explain your answer.

c. Is transitive Explain your answer.

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