https://file.aiquickdraw.com/mathbot/file/1726262974916qgbsytm8.jpg

The problem from your image involves two sets \( B \) and \( H \), and you are asked to find:

1. The union \( B \cup H \)
2. The intersection \( B \cap H \)

The sets are defined as:
\[
B = \{-2, -1, 0, 3, 6, 8\}
\]
\[
H = \{-1, 2, 4, 7, 8\}
\]

### (a) The union \( B \cup H \):
The union of two sets contains all the elements from both sets, without duplicates:
\[
B \cup H = \{-2, -1, 0, 2, 3, 4, 6, 7, 8\}
\]

### (b) The intersection \( B \cap H \):
The intersection of two sets contains only the elements that are present in both sets:
\[
B \cap H = \{-1, 8\}
\]

So the answers are:
- \( B \cup H = \{-2, -1, 0, 2, 3, 4, 6, 7, 8\} \)
- \( B \cap H = \{-1, 8\} \)

Let me know if you would like further clarification!

Here are some related questions:
1. What is the difference between union and intersection of sets?
2. Can a union ever result in fewer elements than either set individually?
3. How is the complement of a set defined, and how does it relate to union and intersection?
4. What are disjoint sets, and how do they affect union and intersection?
5. How can we represent the union and intersection of sets using Venn diagrams?

**Tip**: Always remember that the union of two sets includes every unique element, while the intersection focuses only on common elements!

Find the union and intersection of sets B = {-2, -1, 0, 3, 6, 8} and H = {-1, 2, 4, 7, 8}.

This problem demonstrates how to find the union and intersection of two sets, B = {-2, -1, 0, 3, 6, 8} and H = {-1, 2, 4, 7, 8}. Learn key concepts in set theory, including union and intersection operations, 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