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3. (30 points) The relation R is defined on the set of real numbers and aRb means a-be Z. (Z denotes the set of integers).

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3. (30 points) The relation R is defined on the set of real numbers and aRb means a-be Z. (Z denotes the set of integers). Is R a partial ordering on the set of real numbers? Explain your answer by discussing the properties of a partially ordered set

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