Question

Which relation is an example of an Empty Relation for \(A=\{1,2\}\)?

Options

• \(R=\phi\)

• \(R=\{(1,2),(2,1)\}\)

• \(R=\{(1,1),(1,2),(2,1),(2,2)\}\)

• \(R=\{(1,1),(2,2)\}\)

Answer 1

For \(A=\{1,2\}\), the Empty Relation is \(R=\phi\). It has no ordered pairs, so no element is related to any element.