What do you mean by a binary relation on a set A?

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}

 

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