Let A = {2, 3, 5} and R = {(2, 3), (2, 5), (3, 3), (3, 5)}.

Question:

Let A = {2, 3, 5} and R = {(2, 3), (2, 5), (3, 3), (3, 5)}. Show that R is a binary relation on A. Find its domain and range.

 

Solution:

First, calculate A×A.

A×A = {(2, 2), (2, 3), (2, 5), (3, 2), (3, 3), (3, 5), (5, 2), (5, 3), (5, 5)}

Since, $R$ is a subset of $A \times A$, it's a binary relation on $A$.

The domain of $R$ is the set of first co-ordinates of $R$

Dom(R) = {2, 3}

The range of R is the set of second co-ordinates of R

Range(R) = {3, 5}

 

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