Find the Domain and Range of R = {(x, y) : 2x + y = 8}
Question
If
\[ R=\{(x,y): x,y\in W,\ 2x+y=8\}, \]
then write the domain and range of \( R \).
Solution
Given,
\[ 2x+y=8 \]
Possible ordered pairs are:
\[ (0,8),(1,6),(2,4),(3,2),(4,0) \]
Therefore,
\[ \text{Domain}(R)=\{0,1,2,3,4\} \]
and
\[ \text{Range}(R)=\{0,2,4,6,8\} \]
Hence,
\[ \boxed{\text{Domain}(R)=\{0,1,2,3,4\}} \]
\[ \boxed{\text{Range}(R)=\{0,2,4,6,8\}} \]