Question

A relation \(R\) is symmetric if which condition is satisfied?

Options

• \((a,b)\in R\Rightarrow(b,a)\in R\).

• \((a,a)\in R\) for every \(a\in A\).

• \((a,b)\in R\) and \((b,c)\in R\Rightarrow(a,c)\in R\).

• \(R=\phi\) only.

Answer 1

Symmetry requires each ordered pair to have its reverse pair. Thus, whenever \((a,b)\in R\), the pair \((b,a)\) must also belong to \(R\).