The set $M = \{21, 25, 26, 27\}$ can be written in Set-Builder Notation as follows:

$M = \{ x \mid x \in \mathbb{Z}, 21 \leq x \leq 27, x \neq 22, x \neq 23, x \neq 24 \}$

In this notation:

• $x \in \mathbb{Z}$ indicates that $x$ is an integer.
• $21 \leq x \leq 27$ means $x$ is within the range from 21 to 27, inclusive.
• The conditions $x \neq 22$, $x \neq 23$, and $x \neq 24$ exclude those values from the set.

Would you like more details on how Set-Builder Notation works or any other related concepts?

Here are 5 related questions you might find interesting:

1. How would you write the set $N = \{10, 15, 20, 25\}$ using Set-Builder Notation?
2. What is the difference between Set-Builder Notation and Roster Form?
3. How can you represent an infinite set using Set-Builder Notation?
4. What are some common applications of Set-Builder Notation in mathematics?
5. How do you express the union and intersection of sets using Set-Builder Notation?

Tip: When using Set-Builder Notation, always ensure that the defining condition clearly describes all the elements in the set without including any unintended elements.