Which set, below represents the set \( A=\{x \mid x \in N \) and \( x \geq 7\} ? \) (A) \( \{8,9,10,11,12, \ldots\} \) (B) \( \{7,8,9,10,11,12, \ldots\} \) (C) \( \{1,2,3,4,5,6,7\} \) (D) \( \{0,1,2,3,4,5,6,7\} \)

The set \( A \) consists of natural numbers \( x \) that are greater than or equal to 7. Since natural numbers (\( \mathbb{N} \)) typically start from 1, the integers that fulfill the condition \( x \geq 7 \) are 7, 8, 9, and so on. Therefore, the correct representation of the set \( A \) is option (B), which includes 7 and all numbers greater than it. To clarify: option (A) starts from 8 and does not include 7, option (C) contains numbers less than 7, and option (D) also includes numbers that are not in \( \mathbb{N} \). So clearly, option (B) perfectly matches the criteria for \( A \).