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- Label each of the following statements as either true or false. Every upper bound of a nonempty set is a least upper bound.[Type here] 7. Let be the set of all ordered pairs of integers and . Equality, addition, and multiplication are defined as follows: if and only if and in , Given that is a ring, determine whether is commutative and whether has a unity. Justify your decisions. [Type here]Label each of the following statements as either true or false. Every least upper bound of a nonempty set S is an upper bound.