Question

Which relation is called an Empty Relation?

Options

• A relation in which every element is related only to itself.

• A relation in which every element of \(A\) is related to every element of \(A\), i.e. \(R=A\times A\).

• A relation in which every \((a,b)\) has the reverse pair \((b,a)\).

• A relation in which no element of \(A\) is related to any element of \(A\), i.e. \(R=\phi\).

Answer 1

An Empty Relation contains no ordered pairs connecting elements of \(A\). It is represented by \(R=\phi\), meaning that no element of \(A\) is related to any element of \(A\).