Question

In the set A = {1, 2, 3, 4, 5}, a relation R is defined by

R = {(x, y)| x, y $\in$ A and x < y}. Then R is.

• A. Reflexive
• B. Symmetric
• C. Transitive
• D. None of these

Answer 1

Answer: (C)

Transitive

Answer 2

Since$x < y$ does not imply that $x < y$and $y < z$ ⇒ $x < z$ i.e., $x R z$ . Hence R is transitive.