Relations Functions

Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is

  1. not symmetric
  2. transitive
  3. reflexive
  4. a function

Solution

R is a function as A = {1, 2, 3, 4} and (2, 4) ε R and (2, 3) ε R

(1,1) does not belong to R; (2,3) ε R but (3,2) does not belong to R

(1,3) ε R, (3,1) ε R, but (1,1) does not belong to R

The correct option is A.