To solve this, we'll use set theory principles and the inclusion-exclusion formula.

Let:

• $D$ be the set of people who own a dog.
• $C$ be the set of people who own a cat.
• $|D| = 50$, the number of people who own a dog.
• $|C| = 48$, the number of people who own a cat.
• $|D \cap C| = 14$, the number of people who own both a dog and a cat.

We want to find the number of people who own a cat but not a dog, which is $|C \setminus D|$.

Using the formula: $|C \setminus D| = |C| - |D \cap C|$ Substitute the values: $|C \setminus D| = 48 - 14 = 34$

Thus, 34 people own a cat but not a dog.

Would you like further details or have any questions? Here are five related questions to expand on this:

1. How many people own a dog but not a cat?
2. How many people own either a dog or a cat but not both?
3. How many people own neither a dog nor a cat?
4. What percentage of the total survey owns a cat?
5. How many people own either a dog or a cat or both?

Tip: Understanding Venn diagrams can help visualize overlapping sets, which is useful in solving problems like this.