Question

If \( R \) be a relation from \( A = \{1, 2, 3, 4\} \) to \( B = \{1, 3, 5\} \) such that \( (a, b) \in R \) if \( a<b \), then ROR is:

• A. \( \{ (1,3), (1, 5), (2,3), (2,5), (3,5) \} \)
• B. \( \{ (1,3), (1,5), (2,3), (2,5), (3,5), (5,4) \} \)
• C. \( \{ (1,3), (2,5), (3,5) \} \)
• D. \( \{ (1,3), (2,5) \} \)

Hint:

To find the relation for \( a<b \), list all pairs where \( a \) is less than \( b \) from the given sets.

Answer 1

The Correct Option is C

Step 1: Understand the relation.
The relation \( R \) defines pairs where \( a<b \). Hence, we list all pairs satisfying this condition.
Step 2: Conclusion.
Thus, the relation \( R \) is \( \{ (1,3), (2,5), (3,5) \} \).
Final Answer: \[ \boxed{C} \]