https://file.aiquickdraw.com/mathbot/file/1729928176812qr6ndufb.jpg

The question asks for the roster form of the set defined in set-builder notation: 

\[
\{ x : x \text{ is an integer and } x > 2 \}
\]

In set-builder notation, this defines the set of all integers greater than 2.

### Solution:
To translate this into roster form, list the elements of the set that satisfy the condition \( x > 2 \):
- Starting from the smallest integer greater than 2, the set would include \( 3, 4, 5, 6, \dots \).

The correct roster form of the set is:
\[
\{3, 4, 5, 6, \dots\}
\]

### Answer:
The correct answer is:
- **Option 1: \(\{3, 4, 5, 6, \dots\}\)**

Would you like further explanation, or do you have any questions about subsets or set notation?

### Related Questions:
1. What is the difference between roster form and set-builder form?
2. How do you represent sets of negative integers in set-builder notation?
3. What is the roster form of \(\{ x : x \text{ is an integer and } x \leq 5 \}\)?
4. How would you write \(\{3, 4, 5, 6, \dots\}\) in set-builder notation for different conditions?
5. Can set-builder form be used for non-integer sets, like all real numbers greater than 2?

### Tip:
In set-builder notation, always look carefully at the conditions given to determine the range or type of elements in the set.

Choose the correct Roster Form for the set written in Set-builder form: {x : x is an integer and x > 2}.

Learn how to convert a set from Set-builder notation to Roster form for the expression {x : x is an integer and x > 2}. This example includes the definition and explanation of set notation, including integers greater than 2, and is suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation