https://file.aiquickdraw.com/mathbot/file/1729479135657nq8k3nuw.jpg

The problem asks to find the complement of set \( A \), denoted \( A' \), with respect to the universal set \( U \). 

We are given:
- \( U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \)
- \( A = \{2, 3\} \)

The complement of \( A \), denoted as \( A' \), includes all elements in \( U \) that are *not* in \( A \). To find \( A' \), we subtract the elements of \( A \) from \( U \):

\[
A' = U - A = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} - \{2, 3\} = \{1, 4, 5, 6, 7, 8, 9, 10\}
\]

None of the answer choices directly match this set, so it appears this question has an error. However, based on the available options:

- The correct complement of \( A \) is \( \{1, 4, 5, 6, 7, 8, 9, 10\} \).

Feel free to let me know if you'd like further details or have any questions!

Here are 5 related questions for more practice:
1. What is the complement of \( B = \{1, 4, 7\} \) in \( U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \)?
2. How do you find the union of two sets?
3. What is the intersection of \( A \) and \( B = \{4, 5, 6\} \)?
4. Can a complement of a set ever be empty?
5. What is the cardinality of the universal set \( U \)?

**Tip**: The complement of a set contains all elements from the universal set that are not present in the original set!

Consider the following sets: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}; A = {2, 3}. What is A'?

Learn how to find the complement of set A = {2, 3} in the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Understand key set theory concepts and formulas used to calculate A' = U - A, 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