Subjects set theory

Set Intersection 926817

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1. **State the problem:** Find the points that belong to the set $$(A \cap B) \cap C^c$$, which means points that are in both sets A and B, but not in C. 2. **Understand the notation:** - $A \cap B$ is the intersection of sets A and B (points common to both). - $C^c$ is the complement of C (points not in C). - So, $$(A \cap B) \cap C^c$$ means points that are in both A and B and also not in C. 3. **Analyze the figure description:** - Points $x$ and $y$ are in the intersection of circles A and B but outside circle C. - Other points either are not in both A and B or are inside C. 4. **Conclusion:** - The points that satisfy $$(A \cap B) \cap C^c$$ are $x$ and $y$. **Final answer:** $x, y$