Which of these Venn diagrams show the complement of  
B
  shaded?
Figure 1

The **complement of B**, denoted as \( B' \), consists of all the elements that are *not* in set B. In a Venn diagram, this means the area that is outside of circle B should be shaded, while the region inside B remains unshaded.

In the Venn diagram that shows the complement of B, the entire region outside of circle B, including any space outside B or shared by other sets (like set A if present), will be shaded. The inside of circle B will remain unshaded.

Here’s how you can identify the correct diagram:

1. **Look for the diagram** where the area outside circle B (not inside it) is shaded.
2. The area inside the circle representing B should be left unshaded.
3. Any other sets (like A) present in the diagram should also be shaded where they do not overlap with B.

### Do you want me to provide further details or explanations?

Here are 5 related questions to consider:
1. How do we represent the union of two sets A and B in a Venn diagram?
2. How can we visually represent the intersection of sets A and B?
3. What does the complement of set A look like in a Venn diagram?
4. How do we express the complement of both sets A and B in a Venn diagram?
5. What does \( A \cup B \) complement look like in a Venn diagram?

**Tip:** When analyzing Venn diagrams, always focus on whether the shaded or unshaded regions correspond to the set(s) in question.

Which of these Venn diagrams show the complement of B shaded? Figure 1

Explore how to determine the complement of set B using Venn diagrams. This problem teaches the concept of set complements, where the area outside of set B is shaded, while the interior remains unshaded. Suitable for students in Grades 6-8, this explanation focuses on set theory and visual problem-solving.

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