Question: An operation on a set A is a rule that assigns exactly one element ab to every pair of elements a, b E A.

An operation on a set A is a rule that assigns exactly

An operation on a set A is a rule that assigns exactly one element ab to every pair of elements a, b E A. For example, +, -, and x are all operations on Z since adding, subtracting, or multiplying any two integers yields an integer. (a) Explain why squaring is not an operation on R. (b) Explain why division is not an operation on R.

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