Question:
Determine the domain and range of the relation $R$ defined by $R=\{(x, x+5): x \in\{0,1,2,3,4,5\}\}$.
Solution:
$R=\{(x, x+5): x \in\{0,1,2,3,4,5\}\}$
$\therefore R=\{(0,5),(1,6),(2,7),(3,8),(4,9),(5,10)\}$
$\therefore$ Domain of $R=\{0,1,2,3,4,5\}$
Range of $R=\{5,6,7,8,9,10\}$