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S is the relation defined on Z   (all integers) as follows:  For every m, n ∈...

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S is the relation defined on Z (all integers) as follows: 

For every m, n ∈ Z, relation m S n states: m − n is odd.

Which of the following is true for the above relation S?

(hint: put in some integers into the relation to check for reflexivity, symmetry, transitivity)

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