The solution $x < -4$ or $x > 5$ in interval notation is:

$(-\infty, -4) \cup (5, \infty)$

This represents the union of two disjoint intervals where $x$ satisfies the given conditions.

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Do you want further explanation or have additional questions? Here are some related questions for deeper understanding:

1. What is the meaning of the union operator ($\cup$) in interval notation?
2. How do you graph this interval on a number line?
3. How would the interval change if the inequalities included $\leq$ or $\geq$?
4. What is the equivalent set-builder notation for this interval?
5. How can this interval notation be applied to real-world scenarios?

Tip: When writing interval notation, always use round brackets for strict inequalities ($<$ or $>$) and square brackets for inclusive inequalities ($\leq$ or $\geq$).