Define a relation R on the set N of natural numbers by R = {(x, y) : y = x + 5, x is a natural number less than 4; x, y ∈ N}. Depict this relationship using roster form. Write down the domain and the range.

Question

Philoid · Accepted Answer

Given: R = {(x, y) : y = x + 5, x is a natural number less than 4; x, y ∈ N}.

As x is a natural number which is less than 4.

Hence the relation in roaster form, R = {(1,6), (2,7), (3,8)}

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

⇒ Domain of R = {1, 2, 3}

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

⇒ range of R = {6, 7, 8}.