https://file.aiquickdraw.com/mathbot/file/17273586832940s0ltpwo.jpg

Let's go through the problem on your image.

We are given two sets:
- \( A = \{1, 2, 3\} \)
- \( B = \{2, 3, 4\} \)

Now, we are asked to compute various set operations:

### a) \( A \cup B \) (Union of A and B):
The union of two sets \( A \) and \( B \) includes all elements that are in \( A \), or \( B \), or both. We list all elements without repetition.

\[
A \cup B = \{1, 2, 3, 4\}
\]

### b) \( A \cap B \) (Intersection of A and B):
The intersection of two sets includes only the elements that are in both \( A \) and \( B \).

\[
A \cap B = \{2, 3\}
\]

### c) \( A \setminus B \) (Difference of A and B):
This represents the set of elements that are in \( A \) but not in \( B \).

\[
A \setminus B = \{1\}
\]

### d) \( B \setminus A \) (Difference of B and A):
This represents the set of elements that are in \( B \) but not in \( A \).

\[
B \setminus A = \{4\}
\]

---

If you'd like to explore any of these set operations further or ask for more details, feel free to ask!

Here are some related questions you could think about:
1. How do you compute the symmetric difference between sets \( A \) and \( B \)?
2. What is the power set of \( A \)?
3. Can you form a Venn diagram for \( A \) and \( B \)?
4. How would you represent \( A \cup B \) and \( A \cap B \) using a Venn diagram?
5. What happens to the union and intersection if \( A \subseteq B \)?

**Tip**: Always list out all elements when performing set operations, and make sure to avoid duplicates in unions!

Given two sets A = {1, 2, 3} and B = {2, 3, 4}, find the following set operations:
 a) A ∪ B (Union)
 b) A ∩ B (Intersection)
 c) A \ B (Difference)
 d) B \ A (Difference)

Learn how to compute the union, intersection, and difference of sets A = {1, 2, 3} and B = {2, 3, 4}. This problem explores key set theory concepts and provides clear formulas for understanding set operations. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation