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The definition of transitive may be restated as follows Definition Let r be a relation on A Then r is transitive if and only if

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The definition of transitive may be restated as follows Definition Let r be a relation on A Then r is transitive if and only if whenever a b er and b c Er it must be true that a c Er Let A 2 3 6 10 14 Let r be the following relation on the set A r 2 2 2 6 3 14 6 2 6 6 14 10 a Find all the elements in r2 Enter your answer below as a list of ordered pairs separated by commas Answer 4 b List all ordered pairs that are in r2 but not in r Answer c The relation r is not transitive Explain why not by filling in the following blanks with the appropriate ordered pairs Answer r is not transitive because is in r and is in r but is not in r

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