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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.

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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 × 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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