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The relation R = {(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)} on a set A = { 1 ,2 , 3} is
  • a)
    reflexive, transitive but not symmetric
  • b)
    reflexive, symmetric but not transitive
  • c)
    symmetric, transitive but not reflexive
  • d)
    reflexive but neither symmetric nor transitive
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The relation R = {(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)} on a set A...
Since, R= {(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)}
Reflexive
Since,  1R1, 2R23R3
Hence, R is a reflexive relation.
Symmetric
Since, 1R1, 2R3
Hence, R is not a symmetric relation.
Transitive
Since,1R2, 2R3 implies, 1R3
Hence, R is a transitive relation.
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Most Upvoted Answer
The relation R = {(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)} on a set A...
Since, R= {(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)}
Reflexive
Since,  1R1, 2R23R3
Hence, R is a reflexive relation.
Symmetric
Since, 1R1, 2R3
Hence, R is not a symmetric relation.
Transitive
Since,1R2, 2R3 implies, 1R3
Hence, R is a transitive relation.
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The relation R = {(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)} on a set A = { 1 ,2 , 3} isa)reflexive, transitive but not symmetricb)reflexive, symmetric but not transitivec)symmetric, transitive but not reflexived)reflexive but neither symmetric nor transitiveCorrect answer is option 'A'. Can you explain this answer?
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The relation R = {(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)} on a set A = { 1 ,2 , 3} isa)reflexive, transitive but not symmetricb)reflexive, symmetric but not transitivec)symmetric, transitive but not reflexived)reflexive but neither symmetric nor transitiveCorrect 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 The relation R = {(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)} on a set A = { 1 ,2 , 3} isa)reflexive, transitive but not symmetricb)reflexive, symmetric but not transitivec)symmetric, transitive but not reflexived)reflexive but neither symmetric nor transitiveCorrect 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 The relation R = {(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)} on a set A = { 1 ,2 , 3} isa)reflexive, transitive but not symmetricb)reflexive, symmetric but not transitivec)symmetric, transitive but not reflexived)reflexive but neither symmetric nor transitiveCorrect answer is option 'A'. Can you explain this answer?.
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