https://file.aiquickdraw.com/mathbot/file/1725985754546ttkx4eq8.jpg

Let's break down the Venn diagram and answer the questions.

### Venn Diagram Analysis:
- **Cats Only (13):** These people prefer only cats.
- **Dogs Only (8):** These people prefer only dogs.
- **Birds Only (9):** These people prefer only birds.
- **Cats and Dogs Only (4):** These people prefer both cats and dogs, but not birds.
- **Cats and Birds Only (7):** These people prefer both cats and birds, but not dogs.
- **Dogs and Birds Only (8):** These people prefer both dogs and birds, but not cats.
- **All Three (1):** These people prefer cats, dogs, and birds.
- **No Preference (6):** These people have no preference for any of the animals.

### Questions:
**a. How many people preferred cats, but not dogs?

How many people preferred cats, but not dogs? How many people preferred both birds and dogs, but not cats? How many total people preferred cats? How many total people were surveyed?

Learn how to analyze preferences using Venn diagrams with a step-by-step breakdown. This problem covers key concepts in set theory and counting, applying the principle of inclusion-exclusion. Suitable for students in Grades 6-8.

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