Question

Every relation which is symmetric and transitive is also reflexive.

• A. True
• B. False

Answer 1

The correct option is B False

Let X={0, 1, 2}
and let R be the relation on X defined by
R = {(0, 0), (1, 0), (0, 1), (1,1)}
The relation R is symmetric and transitive but not reflexive
as (2, 2)$\notin$R