Question

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

Options

• Anti symmetric

• Reflexive

• Symmetric

• Not anti symmetric

Answer 1

R = {(1, 1), (2, 2), (1, 2), (2, 1), (2, 3)} be a relation on A, then R is Not anti symmetric.

Explanation:

If xRx for all x `in` R, a relation R on a non-empty set A is said to be reflexive, then R is not reflexive. If xRy `=>` yRx, for all x, y `in` R, a relation R on a non-empty set A is said to be symmetric. As a result, R is asymmetric. If xRy and yRx `=>` x = y for any x, y `in` R, a relation R on a non-empty set A are said to be antisymmetric. As a result, R is not asymmetric.