Screen Recording 20240724 135639 Samsung Notes

Let \( A = \{ (x, y) \mid x, y \in \mathbb{N} \text{ and } x^2 + y^2 = 17 \} \) and \( B = \{ (x, y) \mid x, y \in \mathbb{N} \text{ and } x + y = 5 \} \), where \( \mathbb{N} \) is the set of natural numbers. Then \( A \cap B \) equals: A. \(\{4\}\), B. \(\{1, 4\}\), C. \(\{(1, 4)\}\), D. \(\{(4, 1)\}\), E. \(\{(1, 4), (4, 1)\}\). *Correct Answer:* E. \(\{(1, 4), (4, 1)\}\)