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Use vent diagram to determine the set A’ u B 

The image shows a Venn diagram with two sets \(A\) and \(B\), along with their corresponding elements. To solve the problem, we'll determine the union of the complement of set \(A\) (\(A'\)) and set \(B\), denoted as \(A' \cup B\).

### Steps to Solve:
1. **Identify \(A'\) (Complement of \(A\))**: 
   - \(A'\) includes all elements that are **not** in \(A\).
   
2. **Identify \(B\) (Set \(B\))**:
   - \(B\) includes all elements within set \(B\).

3. **Find \(A' \cup B\)**:
   - The union of \(A'\) and \(B\) includes all elements that are either in \(A'\) or in \(B\).

### Analysis of the Venn Diagram:

- **Set \(A\)** contains the elements inside circle \(A\).
- **Set \(B\)** contains the elements inside circle \(B\).
- The region outside \(A\) but within the universal set is \(A'\).
- \(A' \cup B\) is everything that is either in \(A'\) (outside of \(A\)) or in \(B\).

### Conclusion:
- Identify which numbers are outside \(A\) (including those in \(B\) and outside both sets).
- Include all numbers inside \(B\).

By analyzing these, you can list the elements in \(A' \cup B\). 

Would you like more details on each step or have any questions?

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### Relative Questions:
1. What is the difference between \(A'\) and \(A \cup B\)?
2. How does the intersection of \(A\) and \(B\) affect the union \(A' \cup B\)?
3. What would \(A \cap B'\) represent in the Venn diagram?
4. How do you find the union of two sets in a Venn diagram?
5. What would change if the problem asked for \(A' \cap B\) instead?

### Tip:
When solving problems with Venn diagrams, always identify and label each set clearly to avoid confusion.

Use vent diagram to determine the set A’ u B

Learn how to solve a Venn diagram problem involving the union of set A' (the complement of A) and set B. The step-by-step guide includes analysis of the sets and elements to correctly determine the union. Suitable for students in Grades 6-8.

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