Relation from Set A to Set B | Relation as Subset of Cartesian Product
Question
Let \( R \) be a relation from a set \( A \) to a set \( B \), then
(a) \( R=A\cup B \)
(b) \( R=A\cap B \)
(c) \( R\subseteq A\times B \)
(d) \( R\subseteq B\times A \)
Solution
A relation from set \( A \) to set \( B \) is defined as a subset of the Cartesian product \[ A\times B \]
Therefore, \[ R\subseteq A\times B \]
Hence, the correct answer is (c).