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If Z is the set of integers. Then, the relation R= {(a, b) :1+ ab > 0} on Z is
  • a)
    reflexive and transitive but not symmetric
  • b)
    symmetric and transitive but not reflexive
  • c)
    reflexive and symmetric but not transitive
  • d)
    an equivalence relation
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If Z is the set of integers. Then, the relation R= {(a, b) :1+ ab >...
so it is reflexive
so, it is symmetric 
So, it is not transitive. 
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If Z is the set of integers. Then, the relation R= {(a, b) :1+ ab > 0} on Z isa)reflexive and transitive but not symmetricb)symmetric and transitive but not reflexivec)reflexive and symmetric but not transitived)an equivalence relationCorrect answer is option 'C'. Can you explain this answer?
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If Z is the set of integers. Then, the relation R= {(a, b) :1+ ab > 0} on Z isa)reflexive and transitive but not symmetricb)symmetric and transitive but not reflexivec)reflexive and symmetric but not transitived)an equivalence relationCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If Z is the set of integers. Then, the relation R= {(a, b) :1+ ab > 0} on Z isa)reflexive and transitive but not symmetricb)symmetric and transitive but not reflexivec)reflexive and symmetric but not transitived)an equivalence relationCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If Z is the set of integers. Then, the relation R= {(a, b) :1+ ab > 0} on Z isa)reflexive and transitive but not symmetricb)symmetric and transitive but not reflexivec)reflexive and symmetric but not transitived)an equivalence relationCorrect answer is option 'C'. Can you explain this answer?.
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