Determine the domain and range of the following relations: R= {a, b): a N, a

Question

Determine the domain and range of the following relations: R= {a, b): a N, a < 5, b = 4}

Philoid · Accepted Answer

Given,

R= {a, b): a N, a < 5, b = 4}

Natural numbers less than 5 are 1, 2, 3 and 4

Therefore, a {1, 2, 3, 4} and b {4}

⇒ R = {(1, 4), (2, 4), (3, 4), (4, 4)}

So,

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

Range of relation R = {4}