Check sibling questions

 

  Ex 1.1, 10 - Part 7

  Ex 1.1, 10 - Part 8


Transcript

Ex 1.1, 10 Given an example of a relation. Which is (iv) Reflexive and transitive but not symmetric. Let A = {1, 2, 3}. Let relation R on set A be Let R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} Check Reflexive If the relation is reflexive, then (a, a) R for every a {1,2,3} Since (1, 1), (2, 2), (3, 3) R R is reflexive Check Symmetric Since (1, 2) R , but (2, 1) R If (a, b) R, then (b, a) R R is not symmetric. Check transitive Since (1, 2) R , (2, 3) R & (1, 3) R So, If (a, b) R , (b, c) R , then (a, c) R R is transitive. Hence, relation R is reflexive and transitive but not symmetric.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.