write the set using the Set-Builder Notation between the elements given. 1. M={21,25, 26, 27}

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.

Learn how to write the set M = {21, 25, 26, 27} using Set-Builder Notation. Understand the conditions and format required to express a set in Set-Builder Notation with detailed examples. Suitable for high school students and anyone interested in set theory concepts.

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