Question

Which relation demonstrates a symmetric relation?

Options

• \(R=\{(1,2),(2,1)\}\)

• \(R=\{(1,2),(2,3),(1,3)\}\)

• \(R=\{(1,1),(1,2)\}\)

• \(R=\{(1,2)\}\)

Answer 1

The pair \((1,2)\) has its reverse pair \((2,1)\). Therefore, the relation satisfies the condition \((a,b)\in R\Rightarrow(b,a)\in R\).