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Let R and S be two non-void relations on a set A.
Q. Which of the following statements is false?
Q. Which of the following statements is false?
- a)R and S are transitive ⇒ R ∪ S is transitive
- b)R and S are transitive ⇒ R ∩ S is transitive
- c)R and S are symmetric ⇒ R ∪ S is symmetric
- d)R and S are reflexive ⇒ R ∩ S is reflexive
Correct answer is option 'A'. Can you explain this answer?
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Let R and S be two non-void relations on a set A.Q.Which of the follow...
Let A = {1, 2, 3} and R = {(1, 1), (1, 2)}
S = {(2, 2), (2, 3)} be transitive relations on A.
Then, R ∪ S= {(1,1); (1,2); (2,2); (2, 3)} Obviously, R ∪ S is transitive.
Since, (1, 2) ∈ R ∪ S and (2, 3 ) ∈ R ∪ S but (l , 3) ∉ R ∪ S.
S = {(2, 2), (2, 3)} be transitive relations on A.
Then, R ∪ S= {(1,1); (1,2); (2,2); (2, 3)} Obviously, R ∪ S is transitive.
Since, (1, 2) ∈ R ∪ S and (2, 3 ) ∈ R ∪ S but (l , 3) ∉ R ∪ S.
Most Upvoted Answer
Let R and S be two non-void relations on a set A.Q.Which of the follow...
The statement "R and S are transitive" is not necessarily false. Both R and S could be transitive relations, meaning that if (a,b) belongs to R and (b,c) belongs to R, then (a,c) also belongs to R, and the same for S. However, it is also possible for either R or S (or both) to not be transitive relations. Therefore, the given statement is not necessarily false.
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Let R and S be two non-void relations on a set A.Q.Which of the follow...
Let A = {1, 2, 3} and R = {(1, 1), (1, 2)}
S = {(2, 2), (2, 3)} be transitive relations on A.
Then, R ∪ S= {(1,1); (1,2); (2,2); (2, 3)} Obviously, R ∪ S is transitive.
Since, (1, 2) ∈ R ∪ S and (2, 3 ) ∈ R ∪ S but (l , 3) ∉ R ∪ S.
S = {(2, 2), (2, 3)} be transitive relations on A.
Then, R ∪ S= {(1,1); (1,2); (2,2); (2, 3)} Obviously, R ∪ S is transitive.
Since, (1, 2) ∈ R ∪ S and (2, 3 ) ∈ R ∪ S but (l , 3) ∉ R ∪ S.
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Let R and S be two non-void relations on a set A.Q.Which of the following statements is false?a)R and S are transitive ⇒ R ∪ S is transitiveb)R and S are transitive ⇒R ∩ S is transitivec)R and S are symmetric ⇒ R ∪ S is symmetricd)R and S are reflexive ⇒ R ∩ S is reflexiveCorrect answer is option 'A'. Can you explain this answer?
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Let R and S be two non-void relations on a set A.Q.Which of the following statements is false?a)R and S are transitive ⇒ R ∪ S is transitiveb)R and S are transitive ⇒R ∩ S is transitivec)R and S are symmetric ⇒ R ∪ S is symmetricd)R and S are reflexive ⇒ R ∩ S is reflexiveCorrect answer is option 'A'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let R and S be two non-void relations on a set A.Q.Which of the following statements is false?a)R and S are transitive ⇒ R ∪ S is transitiveb)R and S are transitive ⇒R ∩ S is transitivec)R and S are symmetric ⇒ R ∪ S is symmetricd)R and S are reflexive ⇒ R ∩ S is reflexiveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let R and S be two non-void relations on a set A.Q.Which of the following statements is false?a)R and S are transitive ⇒ R ∪ S is transitiveb)R and S are transitive ⇒R ∩ S is transitivec)R and S are symmetric ⇒ R ∪ S is symmetricd)R and S are reflexive ⇒ R ∩ S is reflexiveCorrect answer is option 'A'. Can you explain this answer?.
Let R and S be two non-void relations on a set A.Q.Which of the following statements is false?a)R and S are transitive ⇒ R ∪ S is transitiveb)R and S are transitive ⇒R ∩ S is transitivec)R and S are symmetric ⇒ R ∪ S is symmetricd)R and S are reflexive ⇒ R ∩ S is reflexiveCorrect answer is option 'A'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let R and S be two non-void relations on a set A.Q.Which of the following statements is false?a)R and S are transitive ⇒ R ∪ S is transitiveb)R and S are transitive ⇒R ∩ S is transitivec)R and S are symmetric ⇒ R ∪ S is symmetricd)R and S are reflexive ⇒ R ∩ S is reflexiveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let R and S be two non-void relations on a set A.Q.Which of the following statements is false?a)R and S are transitive ⇒ R ∪ S is transitiveb)R and S are transitive ⇒R ∩ S is transitivec)R and S are symmetric ⇒ R ∪ S is symmetricd)R and S are reflexive ⇒ R ∩ S is reflexiveCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Let R and S be two non-void relations on a set A.Q.Which of the following statements is false?a)R and S are transitive ⇒ R ∪ S is transitiveb)R and S are transitive ⇒R ∩ S is transitivec)R and S are symmetric ⇒ R ∪ S is symmetricd)R and S are reflexive ⇒ R ∩ S is reflexiveCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics.
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Let R and S be two non-void relations on a set A.Q.Which of the following statements is false?a)R and S are transitive ⇒ R ∪ S is transitiveb)R and S are transitive ⇒R ∩ S is transitivec)R and S are symmetric ⇒ R ∪ S is symmetricd)R and S are reflexive ⇒ R ∩ S is reflexiveCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Let R and S be two non-void relations on a set A.Q.Which of the following statements is false?a)R and S are transitive ⇒ R ∪ S is transitiveb)R and S are transitive ⇒R ∩ S is transitivec)R and S are symmetric ⇒ R ∪ S is symmetricd)R and S are reflexive ⇒ R ∩ S is reflexiveCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Let R and S be two non-void relations on a set A.Q.Which of the following statements is false?a)R and S are transitive ⇒ R ∪ S is transitiveb)R and S are transitive ⇒R ∩ S is transitivec)R and S are symmetric ⇒ R ∪ S is symmetricd)R and S are reflexive ⇒ R ∩ S is reflexiveCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let R and S be two non-void relations on a set A.Q.Which of the following statements is false?a)R and S are transitive ⇒ R ∪ S is transitiveb)R and S are transitive ⇒R ∩ S is transitivec)R and S are symmetric ⇒ R ∪ S is symmetricd)R and S are reflexive ⇒ R ∩ S is reflexiveCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mathematics tests.
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