Question

For \(A=\{1,2\}\), which relation is the Universal Relation?

Options

• \(R=\{(1,1),(2,2)\}\)

• \(R=\{(1,1),(1,2),(2,1),(2,2)\}\)

• \(R=\{(1,2),(2,1)\}\)

• \(R=\phi\)

Answer 1

The Universal Relation on \(A=\{1,2\}\) is \(A\times A\). It contains all four possible ordered pairs: \((1,1),(1,2),(2,1),(2,2)\).