To solve this problem:

1. Graph the set $\{x \mid x < -5\}$ on the number line:

   • The inequality $x < -5$ represents all numbers less than $-5$.
   • On the number line, this is represented by an open circle at $-5$ (since $-5$ itself is not included) and a line extending to the left, towards negative infinity.

2. Write the set in interval notation:

   • Interval notation expresses the set of values in a compact form.
   • Since $x$ is less than $-5$, and not including $-5$, the interval starts from negative infinity and goes up to (but does not include) $-5$.
   • In interval notation, this is written as $(-\infty, -5)$.

Would you like more details on graphing or interval notation? Here are some follow-up questions to expand on this:

1. What is the difference between open and closed intervals?
2. How does graphing inequalities differ when the inequality includes "equal to"?
3. What is the difference between set-builder notation and interval notation?
4. Can inequalities also be written in terms of functions or absolute values?
5. How would the notation change if the inequality was $x \leq -5$?

Tip: When graphing inequalities, always pay attention to whether the endpoint is included (closed dot) or excluded (open dot).