Question

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

Options

• Symmetric

• Transitive

• None of these

• Reflexive

Answer 1

Let A = {1, 2, 3} and R = {(1, 2), (2, 3), (1, 3)} be a relation on A. Then, R is Transitive.

Explanation:

R = (1, 2), (2, 3), (1, 3) meet just the transitive relation property. It's transitive, which means (a,b) `in` R and (b,c) `in` R (a,c) `in` R `AA` a,b,c `in` A