Question

Which statement defines a relation from set \(A\) to set \(B\)?

Options

• \(R = A \cap B\)

• \(R \subseteq A \times B\)

• \(R \subseteq A \cup B\)

• \(R = B \times A\)

Answer 1

A relation from set \(A\) to set \(B\) is any subset of the Cartesian product \(A \times B\). Thus, the required condition is \(R \subseteq A \times B\).