Question

Let A = {1, 8, 27} and a relation R on set A is given by R = {(1, 1), (8, 1)}, then relation R is


a)Transitive


b)Symmetric


c)Reflexive


d)Neither transitive nor symmetric​

Answer 1

d)Neither transitive nor symmetric

Answer 2

Neither transitive nor symmetric​

Explanation:

In mathematics, a relation R on a set X is transitive if, for all elements a, b, c in X, whenever R relates a to b and b to c, then R also relates a to c. Each partial order as well as each equivalence relation needs to be transitive.

A symmetric relation is a type of binary relation. An example is the relation "is equal to", because if a = b is true then b = a is also true