The problem you're working on asks you to rewrite the set $G$ by listing its elements, where $G = \{ y \mid y \text{ is an integer and } -4 \leq y \leq -3 \}$.

Explanation:

You are given a set of integers between $-4$ and $-3$, inclusive. These are the integers $y$ such that $-4 \leq y \leq -3$.

The only integers within this range are: $y = -4, -3$

Set notation for $G$:

$G = \{-4, -3\}$

This is the correct way to list the elements of the set $G$.

Would you like any additional explanation or details? Here are some questions to deepen your understanding:

1. What if the inequality was $-5 \leq y \leq -3$?
2. How would the set change if the inequality were strict, like $-4 < y < -3$?
3. What are the key differences between listing elements and describing them using set-builder notation?
4. Can you list all integers between two other bounds, such as $1 \leq y \leq 5$?
5. How would this problem change if $y$ were allowed to be a real number instead of an integer?

Tip: Always remember that when dealing with set-builder notation, focus on the conditions that define the set, like whether $y$ is an integer and within a specified range.