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For each of the following relations, determine whether the relation is reflexive, irreflexive, symmetric, antisymmetric, and/or...

For each of the following relations, determine whether the relation is reflexive, irreflexive, symmetric, antisymmetric, and/or transitive. Then find R−1.

a) R = {(x,y) : x,y ∈Z,x−y = 1}.

b) R = {(x,y) : x,y ∈N,x|y}.

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