Represent the following sets in Set Builder form;B =
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1
3
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1
2
,
3
5
,
2
3
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To represent the set \( B = \left\{ \frac{1}{3}, \frac{1}{2}, \frac{3}{5}, \frac{2}{3} \right\} \) in **Set Builder form**, we describe the pattern or rule that defines all the elements of the set. However, these fractions do not follow a simple arithmetic or geometric pattern, so we'll need to use a direct listing approach.

The **Set Builder form** would look like:

\[
B = \left\{ x \in \mathbb{Q} \mid x = \frac{a}{b}, \, \text{where} \, a \in \{1, 2, 3\}, \, b \in \{2, 3, 5\} \, \text{and} \, x \in \left\{ \frac{1}{3}, \frac{1}{2}, \frac{3}{5}, \frac{2}{3} \right\} \right\}
\]

This means that the elements of \( B \) are rational numbers that satisfy these conditions.

Would you like further clarification or details on this? 

Here are 5 related questions:
1. How can we define set relations such as subsets using Set Builder notation?
2. Can you explain how to represent infinite sets using Set Builder form?
3. What is the difference between Set Builder form and Interval notation?
4. How would the Set Builder form look for sets with integer elements only?
5. How do we represent inequalities in Set Builder form?

**Tip:** When defining a set in Set Builder notation, always specify the domain (e.g., integers, rational numbers) and the condition that elements must satisfy.

Represent the following sets in Set Builder form; B = {1/3, 1/2, 3/5, 2/3}.

Learn how to express the set B = {1/3, 1/2, 3/5, 2/3} using Set Builder notation. This example covers key set theory concepts and introduces how to represent rational numbers in mathematical notation. Suitable for high school students in Grades 9-12.

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