Question

let A= {a, b, c, d}
a) write a relation on A which is reflexive only
b) write a relation A reflexive and symmetric but not transitive
c) write a relation on A which is transitive only
d) write a smallest equivalence relation that can be defined on A
​

Answer 1

Answer:

It is clearly evident that R is a reflexive relation and also a transitive relation ,but it is not symmetric as (1,3) is present in R but (3,1)

Answer 2

Answer:

a){(a,a),(b,b),(c,c),(d,d)}