Question

Let A = {1, 2, 3}, then the relation R = {(1, 1), (1, 2), (2, 1)} on A is ____________.

Options

• transitive

• symmetric

• none of these

• reflexive

Answer 1

Let A = {1, 2, 3}, then the relation R = {(1, 1), (1, 2), (2, 1)} on A is symmetric.

Explanation:

On a nonempty set, R is a relation. If xRy `=>` yRx, for any x, y `in` R, A is said to be symmetric. Both (1, 2) and (2, 1) are clearly in R. As a result, R is symmetric.