Q2Multiple correct4 Marks21 Dec 2025

Consider the following relations defined on the set of integers: - $R_1 = \{(x, y) \mid x, y \in \mathbb{Z} \text{ and } 7 \text{ divides } (x - y)\}$ - $R_2 = \{(x, y) \mid x, y \in \mathbb{Z} \text{ and } x + y = 2\}$ Choose the correct option(s).

A

$R_1$ is not transitive.

B

$R_2$ is symmetric.

C

$R_1$ is symmetric.

D

$R_2$ is transitive.