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Let A and B be two non-empty relations on a set S. Which of the following statements is false?
  • 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
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Let A and B be two non-empty relations on a set S. Which of the follow...
In terms of set theory, the binary relation R defined on the set X is a transitive relation if, for all a, b, c ∈ X, if aRb and bRc, then aRc. If there are two relations on a set satisfying transitive property then there union must satisfy transitive property.
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Let A and B be two non-empty relations on a set S. Which of the follow...
The statement "A and B are transitive" is not necessarily false. It is possible for both relations A and B to be transitive.
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Let A and B be two non-empty relations on a set S. Which of the following statements is false?a)A and B are transitive ⇒ A∩B is transitiveb)A and B are symmetric ⇒ A∪B is symmetricc)A and B are transitive ⇒ A∪B is not transitived)A and B are reflexive ⇒ A∩B is reflexiveCorrect answer is option 'C'. Can you explain this answer?
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Let A and B be two non-empty relations on a set S. Which of the following statements is false?a)A and B are transitive ⇒ A∩B is transitiveb)A and B are symmetric ⇒ A∪B is symmetricc)A and B are transitive ⇒ A∪B is not transitived)A and B are reflexive ⇒ A∩B is reflexiveCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Let A and B be two non-empty relations on a set S. Which of the following statements is false?a)A and B are transitive ⇒ A∩B is transitiveb)A and B are symmetric ⇒ A∪B is symmetricc)A and B are transitive ⇒ A∪B is not transitived)A and B are reflexive ⇒ A∩B is reflexiveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A and B be two non-empty relations on a set S. Which of the following statements is false?a)A and B are transitive ⇒ A∩B is transitiveb)A and B are symmetric ⇒ A∪B is symmetricc)A and B are transitive ⇒ A∪B is not transitived)A and B are reflexive ⇒ A∩B is reflexiveCorrect answer is option 'C'. Can you explain this answer?.
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