Determine the Domain and Range of the Relation
Question
Determine the domain and range of the relation
\[ R=\{(x,x+5):x\in\{0,1,2,3,4,5\}\} \]
Solution
The relation is
\[ R= \{ (0,5),(1,6),(2,7), \]
\[ (3,8),(4,9),(5,10) \} \]
Domain = set of first elements
\[ \boxed{ \{0,1,2,3,4,5\} } \]
Range = set of second elements
\[ \boxed{ \{5,6,7,8,9,10\} } \]