Question

Given set A = {1, 2, 3} and a relation R = {(1, 2), (2, 1)}, the relation R will be ____________.

Options

• reflexive if (1, 1) is added

• symmetric if (2, 3) is added

• transitive if (1, 1) is added

• symmetric if (3, 2) is added

Answer 1

Given set A = {1, 2, 3} and a relation R = {(1, 2), (2, 1)}, the relation R will be transitive if (1, 1) is added.

Explanation:

here `(1,2)  "e R", (2,1) in "R, if transitive"  (1,1)` should belong to R.