Question

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.

Answer 1

Given R = {(x, y): x, y ∈ N and y = x + 5, x < 4}

= {(1,6), (2,7), (3, 8)}

Domain = {1, 2, 3}

Range = {6, 7, 8}