Question Which of the following correctly represents the set of integers from -4 to 8 in set-builder notation? Select the correct answer below: \( \{x \mid-4 \leq x \leq 8\} \) \( \{x \in \mathbb{I} \mid-4 \leq x \leq 8\} \) \( \{x \in \mathbb{Z} \mid-4 \leq x \leq 8\} \) \( \{x \mid-\infty \leq x \leq-4,8 \leq x \leq \infty\} \)

The correct answer is \( \{x \in \mathbb{Z} \mid -4 \leq x \leq 8\} \). This notation accurately indicates that \( x \) is an element of the set of integers (\( \mathbb{Z} \)) and is between -4 and 8, inclusive, capturing all whole numbers in that range. When using set-builder notation, it's crucial to make sure you're indicating the right set that \( x \) belongs to. A common mistake is forgetting to specify the correct type, like integers (\( \mathbb{Z} \)) versus other types of numbers, which can lead to misunderstandings in mathematical communication!