Let A and B be two non-empty relations on a set S. Which of the following statements is false?

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answerhappygod
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Let A and B be two non-empty relations on a set S. Which of the following statements is false?

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a) A and B are transitive ⇒ A∩B is transitive
b) A and B are symmetric ⇒ A∪B is symmetric
c) A and B are transitive ⇒ A∪B is not transitive
d) A and B are reflexive ⇒ A∩B is reflexive
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