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Let X be the set of all persons living in Delhi. The persons a and b in X are said to be related if the difference in their ages is at most 5 years. The relation is
  • a)
    an equivalence relation
  • b)
                 reflexive and transitive but not symmetric
  • c)
                        symmetric and transitive but not reflexive
  • d)
                       retlexive and symmetric but not transitive ​
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Let X be the set of all persons living in Delhi. The persons a and b i...
a ~ b≤ 5
Let b ~ c ≤ 5
so a ~ c ≤ 10
as (a ~ b) ∈ Rand (b ~c) ∈R
but (a ~ c) ∉ R
So it is not a transitive relation.
By considering all the options, we come to the conclusion that only option (d) is correct.
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Let X be the set of all persons living in Delhi. The persons a and b in X are said to be related if the difference in their ages is at most 5 years. The relation isa)an equivalence relationb) reflexive and transitive but not symmetricc) symmetric and transitive but not reflexived) retlexive and symmetric but not transitive ​Correct answer is option 'D'. Can you explain this answer?
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Let X be the set of all persons living in Delhi. The persons a and b in X are said to be related if the difference in their ages is at most 5 years. The relation isa)an equivalence relationb) reflexive and transitive but not symmetricc) symmetric and transitive but not reflexived) retlexive and symmetric but not transitive ​Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Let X be the set of all persons living in Delhi. The persons a and b in X are said to be related if the difference in their ages is at most 5 years. The relation isa)an equivalence relationb) reflexive and transitive but not symmetricc) symmetric and transitive but not reflexived) retlexive and symmetric but not transitive ​Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let X be the set of all persons living in Delhi. The persons a and b in X are said to be related if the difference in their ages is at most 5 years. The relation isa)an equivalence relationb) reflexive and transitive but not symmetricc) symmetric and transitive but not reflexived) retlexive and symmetric but not transitive ​Correct answer is option 'D'. Can you explain this answer?.
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