https://file.aiquickdraw.com/mathbot/file/1726388150743ioyizkms.jpg

The given set is:

\[
A = \left\{ \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \dots, \frac{9}{10} \right\}
\]

We need to express this set in set-builder notation. Observing the pattern, the elements are of the form \( \frac{n}{n+1} \), where \( n \) starts at 1 and goes up to 9. Therefore, the set-builder form of this set is:

\[
A = \left\{ \frac{n}{n+1} \mid n \in \mathbb{N}, 1 \leq n \leq 9 \right\}
\]

This notation means that the set contains elements \( \frac{n}{n+1} \) where \( n \) is a natural number from 1 to 9.

Would you like more details or have any other questions?

Here are 5 related questions:
1. How do you express a set in interval notation?
2. What is the difference between set-builder and roster notation?
3. How do you describe a set of rational numbers using set-builder notation?
4. Can infinite sets also be expressed in set-builder notation?
5. How do you find the domain and range of a set defined by a relation?

**Tip**: When identifying patterns in sequences, look for how each element relates to its position in the sequence mathematically.

Write the following set in set-builder form: A = {1/2, 2/3, 3/4, ..., 9/10}

Learn how to write the set A = {1/2, 2/3, 3/4, ..., 9/10} in set-builder notation. Understand the pattern n/(n+1), where n is a natural number between 1 and 9. This problem introduces set theory and sequences for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation