#relations

Question 1: Single choice

mediumAI-checkedKnowledge Representation & Reasoning

Let $R$ on the domain $\{1,2,3,4,5\}$ hold of exactly $\langle 1,1\rangle$ , $\langle 1,2\rangle$ , $\langle 1,3\rangle$ , $\langle 1,4\rangle$ , $\langle 1,5\rangle$ , $\langle 2,5\rangle$ , $\langle 4,1\rangle$ and $\langle 5,5\rangle$ . The relation is not transitive. Which triple $(x, y, z)$ shows this, with $R(x,y)$ and $R(y,z)$ true but $R(x,z)$ false?

$x = 4,\ y = 1,\ z = 2$ 1
$x = 1,\ y = 2,\ z = 5$ 2
$x = 2,\ y = 5,\ z = 5$ 3
$x = 1,\ y = 4,\ z = 1$ 4

Timed test