Let U= {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 5}, C = {3, 4, 6}. List all the members of the following:

A ∩ C =

The intersection of two sets, \( A \cap C \), includes all the elements that are present in both set \( A \) and set \( C \).

Given:
- \( A = \{1, 2, 3, 5\} \)
- \( C = \{3, 4, 6\} \)

The common element between these two sets is \( 3 \).

Thus, \( A \cap C = \{3\} \).

Would you like further details or have any questions?

Here are 5 related questions to further explore set theory:
1. What is \( A \cup C \) (the union of \( A \) and \( C \))?
2. What is \( A' \), the complement of \( A \) in \( U \)?
3. How can we find \( (A \cup C)' \), the complement of \( A \cup C \)?
4. What is the result of \( A \setminus C \) (the difference between \( A \) and \( C \))?
5. How does the concept of a universal set \( U \) influence set operations?

**Tip:** When dealing with sets, intersections focus on common elements, while unions combine all distinct elements from the sets involved.

Let U= {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 5}, C = {3, 4, 6}. List all the members of the following: A ∩ C =

Explore how to find the intersection of two sets A and C where A = {1, 2, 3, 5} and C = {3, 4, 6}. Understand the concept of set intersection and see how to identify common elements between sets. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation