Maths Relations & Functions part 14 (Example Reflexive Transitive) CBSE class 12 Mathematics XII

Maths Relations & Functions part 14 (Example Reflexive Symmetric Transitive) CBSE class 12 Mathematics XII

[shivashishsarkar]

This is a very good question. Its not very easy to find an example where transitive property does not hold good. You can get lucky but if you don't it can take time. 

[sraghul]

You can do it as Range of real numbers is from -infinity to infinity which also includes fractional numbers for easy understanding we take whole numbers. But if for fractional numbers the relation does not show transitive relation then the entire relation is not transitive. Thank You.

[wildglorypsn]

but how will all the natural numbers make the relation reflexive in the first question?

[MONUYOGESHSHARMA]

in case of transitive why u take example of 5, 3 & 3, 2, when R is clearly defined set of real numbers..
cant we take 1/3, 2/3 &2/3, 1/4 to show it is not transitive..