Determine the Domain and Range of the Relation
Question
Determine the domain and range of the relation
\[ R=\{(a,b):a\in N,\ a<5,\ b=4\} \]
Solution
Natural numbers less than \(5\) are
\[ 1,2,3,4 \]
Since \[ b=4, \]
\[ R= \{ (1,4),(2,4),(3,4),(4,4) \} \]
Domain = set of first elements
\[ \boxed{ \{1,2,3,4\} } \]
Range = set of second elements
\[ \boxed{ \{4\} } \]