The set notation for the inequality $y < -2$ or $y > 3$ represents the union of two disjoint intervals. In set notation, we can write this as:

$y \in (-\infty, -2) \cup (3, \infty)$

This means that $y$ belongs to either the interval $(-\infty, -2)$, where $y$ is less than $-2$, or the interval $(3, \infty)$, where $y$ is greater than $3$.

Would you like more details or further explanation?

Here are 5 related questions:

1. How would the set notation change if the inequality included $\leq$ or $\geq$?
2. How can you express $y \in (-\infty, -2) \cup (3, \infty)$ on a number line?
3. What is interval notation, and how is it related to set notation?
4. What happens if the inequalities overlap (e.g., $y > -2$ and $y < 3$)?
5. How do you write an inequality in set-builder notation?

Tip: In set notation, a union $\cup$ combines multiple sets, including all elements from both intervals.