Let A = {1, 2, 3, ..., 14}. Define a relation R from A to A by R = {(x, y) : 3x – y = 0, where x, y A}. Write down its domain, codomain and range.

Given: A = {1, 2, 3, ..., 14} and R = {(x, y) : 3x – y = 0, where x, y A}

As the relation R from A to A is given as:


R = {(x, y) : 3x – y = 0, where x, y A}


R = {(x, y) : 3x = y, where x, y A}


Hence the relation in roaster form, R = {(1, 3), (2, 6), (3, 9), (4, 12)}


As Domain of R = set of all first elements of the order pairs in the relation.


Domain of R = {1, 2, 3, 4}


Codomain of R = the whole set A


Codomain of R = {1, 2, 3, ..., 14}


Range of R = set of all second elements of the order pairs in the relation.


range of R = {3, 6, 9, 12}.


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