Determine whether ~ is reflexive, symmetric, antisymmetric, transitive, an equivalence relation, or a partial order on A.
(a) A = N and, for a, b ∈ A, a ~ b if and only if a ≤ 2b.
(b) A = Z2 and, for (a, b), (c, d) ∈ A, (a, b) ~ (c, d) if and only if a ≤ b and d ≤ c.
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