Introduction:
To prove that the relation R is empty from set A to set B, we need to show that there are no elements in R. In this case, we have sets A and B with specific elements, and the relation R is defined as the set of pairs (a, b) where a belongs to A, b belongs to B, and a - b is odd.

Given:
A = (3, 5)
B = (7, 11)

Understanding the Relation:
To determine if the relation R is empty, we need to check if there are any pairs (a, b) that satisfy the condition a - b is odd.

Analysis:
Let's analyze the elements of sets A and B:
A = {3, 5}
B = {7, 11}

We need to check all possible pairs (a, b):
1. (3, 7): 3 - 7 = -4 (not odd)
2. (3, 11): 3 - 11 = -8 (not odd)
3. (5, 7): 5 - 7 = -2 (not odd)
4. (5, 11): 5 - 11 = -6 (not odd)

Conclusion:
After analyzing all possible pairs (a, b), we find that none of them satisfy the condition a - b is odd. Therefore, there are no elements in the relation R.

Explanation:
- The relation R is defined as the set of pairs (a, b) where a belongs to A, b belongs to B, and a - b is odd.
- To prove that R is empty, we need to show that there are no pairs in R.
- We analyze all possible pairs of elements from sets A and B.
- For each pair (a, b), we calculate the difference a - b.
- If the difference is odd, we include the pair in the relation R.
- After analyzing all pairs, we find that none of them satisfy the condition a - b is odd.
- Therefore, the relation R is empty.