A binary operator f on a set X is commutative if f(x, y) = f(y, x) for all x, y ∈ X. State whether the given function f is a binary operator on the set X. If f is not a binary operator, state why. State whether or not each binary operator is commutative. f(x, y) = x ∪ y, X = P({1, 2, 3, 4})

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