https://file.aiquickdraw.com/mathbot/file/1729202523733zdftubv0.jpg

Let's tackle each part of the problem based on the provided image:

### Part (a):
- **Roster form** is given as: \(\{2, 3, 4, 5, \dots\}\).
- We need to write the **Set-builder form**.
  
  The pattern in the roster form shows that the elements of the set start from 2 and increase by 1 indefinitely. We can describe this set in set-builder notation as:
  
  \[
  \{x \mid x \geq 2 \text{ and } x \in \mathbb{Z}\}
  \]
  This means the set contains integers (\(x \in \mathbb{Z}\)) starting from 2 and going upwards.

### Part (b):
- **Set-builder form** is given as: \(\{y \mid y \text{ is an integer and } -2 \leq y \leq 1\}\).
- We need to convert this into **Roster form**.

  The integers between \(-2\) and \(1\) are: \(\{-2, -1, 0, 1\}\).

Thus, the answers are:
1. **(a) Set-builder form**: \(\{x \mid x \geq 2 \text{ and } x \in \mathbb{Z}\}\)
2. **(b) Roster form**: \(\{-2, -1, 0, 1\}\)

Do you need further clarifications or details on these conversions? 

Here are some follow-up questions:
1. Can you explain how set-builder notation differs from roster form?
2. How would you describe a set that includes only even numbers greater than 10 using set-builder form?
3. What is the difference between natural numbers and integers in set notation?
4. Can a set in roster form always be written in set-builder form?
5. How would you represent the set of all integers less than 0 in roster form?

**Tip**: When writing sets in set-builder notation, always carefully define the conditions that describe all elements in the set.

Write each set in the indicated form. (a) Convert the roster form {2, 3, 4, 5, ...} into set-builder form. (b) Convert the set-builder form {y | y is an integer and -2 ≤ y ≤ 1} into roster form.

Learn how to convert sets between roster form and set-builder notation. In this problem, you'll convert the set {2, 3, 4, 5, ...} into set-builder notation and {y | y is an integer and -2 ≤ y ≤ 1} into roster form. Suitable for students in Grades 6-9.

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