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.

Understand how to express the inequality y < -2 or y > 3 in set notation. This solution explains how to write the union of intervals in mathematical set notation and covers key concepts such as inequalities and the union of sets. Suitable for students in Grades 8-10.

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