List all the elements of the following set. Use set notation and the listing method to describe the set. $\{x \mid x$ is an odd integer between -8 and 3$\}$ Express the set using set notation and the listing method. (Use a comma to separate answers as needed. Use ascending order.)

Step 1 ：The problem is asking for all the odd integers between -8 and 3. The odd integers are numbers that are not divisible by 2. So, we need to find all the numbers between -8 and 3 that are not divisible by 2.

Step 2 ：We can do this by iterating over the range from -8 to 3 and checking if each number is odd. If it is, we add it to our set.

Step 3 ：By doing this, we find the set of odd numbers to be \(-7, -5, -3, -1, 1, 3\).

Step 4 ：\(\boxed{\{-7, -5, -3, -1, 1, 3\}}\) is the set of all odd integers between -8 and 3.