 Hello and welcome to the session that is understanding the following question which says, give an example of a relation which is first symmetric but neither reflexive nor transitive, second transitive but neither reflexive nor symmetric, third reflexive and symmetric but not transitive, fourth reflexive and transitive but not symmetric, fifth symmetric and transitive but not reflexive. Now let's proceed on to the solution. The first part says symmetric but neither reflexive nor transitive. So, let a is equal to 1, 2 and 3 and relation r defined in a is equal to 1 and 2 equal to defined in a