Question:
What do you mean by a binary relation on a set A? Define the domain and range of relation on A.
Solution:
Any subset of (A × A) is called a binary relation to A. Here, (A × A) is the cartesian product of A with A.
Let $A=\{4,5,6)$ and $R=\{(4,5),(6,4),(5,6)\}$
Here, R is a binary relation to A.
The domain of R is the set of first co-ordinates of R
Dom(R) = {4, 6, 5}
The range of R is the set of second co-ordinates of R
Range(R) = {5, 4, 6}