Determine the domain and range of the relation $R$ defined by $R = {(x, x + 5) : x \in {0, 1, 2, 3, 4, 5}}$

Open in App

Solution

$R = {(x, x + 5) : x \in {0, 1, 2, 3, 4, 5}}$
$\Rightarrow R = {(0, 5), (1, 6), (2, 7), (3, 8), (4, 9), (5, 10)}$
$∴$ Domain of $R = {0, 1, 2, 3, 4, 5}$
Range of $R = {5, 6, 7, 8, 9, 10}$

Suggest Corrections

Similar questions

R

R = {(x + 1, x + 5) : x \in {0, 1, 2, 3, 4, 5}}

R

R =

(x, x + 5) : x ϵ

0, 1, 2, 3, 4, 5

\in

Determine the domain and range of the relation R defined by

(i) $R = {(x, x + 5) : x ϵ (0, 1, 2, 3, 4, 5)}$

(ii) $R = {(x, x^{3}) : x$ is a prime number less than 10}.

Join BYJU'S Learning Program