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Let R and S be transitive binary relations on the same set A . Which of the following new relations must also be transitive? Hint:

Let R and S be transitive binary relations on the same set A. Which of the following new relations must also be transitive?
Hint: For each part, justify your answer with a brief argument if the new relation is transitive or with a counter example if it is not.
(a) R-1(b) R \cap S (c) R o R (d) R o S

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