If A = {1, 2, 3, 4 }, define relations on A which have properties of being:

symmetric but neither reflexive nor transitive

Dear Student

Let R = {(1, 2), (2, 1)}
Now, (1, 2)∈R, (2, 1)∈R2
So, it is symmetric,
clearly R is not reflexive as (1, 1)∉R
R is not transitive as(1,2) ∈ R,(2,1) ∈ R but (1,1) ∉ R

Thanks