Question

Which relation satisfies the transitive condition for the pairs \((1,2)\) and \((2,3)\)?

Options

• \(R=\{(1,3),(3,1)\}\)

• \(R=\{(1,2),(2,3)\}\)

• \(R=\{(1,1),(2,2),(3,3)\}\)

• \(R=\{(1,2),(2,3),(1,3)\}\)

Answer 1

The pairs \((1,2)\) and \((2,3)\) require \((1,3)\) for transitivity. The given relation contains all three required pairs, so it satisfies this transitive condition.