Write the Relation as a Set of Ordered Pairs
Question
Write the following relation as the set of ordered pairs:
A relation \(R\) from the set \[ \{2,3,4,5,6\} \] to the set \[ \{1,2,3\} \] defined by \[ x=2y. \]
Solution
\[ x=2y \]
For \[ y=1,\quad x=2 \]
\[ (2,1) \]
For \[ y=2,\quad x=4 \]
\[ (4,2) \]
For \[ y=3,\quad x=6 \]
\[ (6,3) \]
Therefore,
\[ \boxed{ R=\{(2,1),(4,2),(6,3)\} } \]