Rewrite the set $B$ by listing its elements. Make sure to use the appropriate set notation. $B=\{x \mid x$ is an integer and $-5 \leq x \leq-3\}$

Step 1 ：Rewrite the set $B$ by listing its elements. Make sure to use the appropriate set notation. $B=\{x \mid x$ is an integer and $-5 \leq x \leq-3\}$

Step 2 ：The question is asking to list all the elements of set B. The set B is defined as all integers x such that x is greater than or equal to -5 and less than or equal to -3. So, we need to list all the integers between -5 and -3 inclusive.

Step 3 ：B = {-5, -4, -3}

Step 4 ：Final Answer: The set $B$ is $\boxed{\{-5, -4, -3\}}$