To create a Venn diagram for the expression \((A \cup C) \cap A'\), let's break down the components first:

1. **\(A \cup C\)**: This represents the union of sets \(A\) and \(C\), meaning it includes all elements that are in either \(A\), \(C\), or both.
  
2. **\(A'\)**: This represents the complement of set \(A\), meaning it includes all elements that are not in \(A\).

3. **\((A \cup C) \cap A'\)**: This represents the intersection of the union of sets \(A\) and \(C\) with the complement of set \(A\). In other words, it includes all elements that are in \(A \cup C\) but not in \(A\).

### Venn Diagram Explanation:

- **Set \(A\)** will be one circle.
- **Set \(C\)** will be another circle overlapping with \(A\).
- **Set \(A'\)** represents the area outside of \(A\).

The desired region in the Venn diagram will be the parts of \(C\) that do not overlap with \(A\).

Would you like to see a visual representation of this Venn diagram?

Explore how to create a Venn diagram for the expression (A union C) intersection A', detailing the union, intersection, and complement of sets A and C. Understand the key regions and elements of the Venn diagram with a step-by-step explanation and example.

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