Question

Given \(A=\{1,2,3,4,5\}\), which relation consists of ordered pairs satisfying \(x+y=5\), where \(x,y\in A\)?

Options

• \(\{(1,4),(2,3),(3,2),(4,1),(5,0)\}\)

• \(\{(1,1),(2,2),(3,3),(4,4)\}\)

• \(\{(1,4),(2,3),(3,2),(4,1)\}\)

• \(\{(1,5),(2,4),(3,3),(4,2),(5,1)\}\)

Answer 1

The pairs must have components in \(A\) and satisfy \(x+y=5\). The possible pairs are \((1,4)\), \((2,3)\), \((3,2)\), and \((4,1)\).