Question

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

Options

• \(I_A=\{(1,2),(2,1)\}\)

• \(I_A=\{(1,1),(2,2)\}\)

• \(I_A=\{(1,1),(1,2),(2,1),(2,2)\}\)

• \(I_A=\phi\)

Answer 1

The Identity Relation contains the self-pair for every element and no other pairs. Thus, for \(A=\{1,2\}\), it is \(I_A=\{(1,1),(2,2)\}\).