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Question

If A = {5, 7, 9, 11}, B = {9, 10} and a R b is defined as a < b such that a A, (a, b) R, b B, then find the domain, co-domain and range of R.

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Solution

a R b means a < b

Then R = {(5, 9), (5, 10), (7, 9), (7, 10), (9, 10)}

Domain = {5, 7, 9} set of first components of all the ordered pairs which belong to R

Co-domain = {9, 10} set B is called co-domain of relation R

Range = {9, 10} set of second components of all the ordered pairs which belong to R.


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