The domain of definition of the function is
For domain of ,
Let be a relation on the set The relation is
(A) a function
(C) not symmetric
Since, and So, R is not a function.
Since, and but So, R is not transitive
Since, but so, R is not symmetric
Since, so, R is not reflexive
The domain of the function
We must have
This is only possible when
Let R be a relation defined as if . Then, the relation is
(D) None of these
is not reflexive since
is symmetric since if , then
R is not transitive. For example,
consider the numbers 3, 7, 3.
since and , so we have and
But 3 is not related to 3 as .