Check sibling questions

  Ex 1.1, 10 - Part 3

  Ex 1.1, 10 - Part 4

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Ex 1.1,10 Given an example of a relation. Which is (ii) Transitive but neither reflexive nor symmetric. Let R = {(a, b): a < b} Check reflexive Since a cannot be less than a a a So, (a, a) R R is not reflexive. Check symmetric If a < b , then b cannot be less than a i.e. b a So, if (a, b) R , (b, a) R R is not symmetric Check transitive If a < b & b < c, then a < c So, if (a, b) R, (b, c) R, then (a, c) R R is transitive. Hence, relation R is transitive but not reflexive and symmetric.

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.