https://file.aiquickdraw.com/mathbot/file/1729998152257uqk6m7u1.jpg

Let’s analyze each question based on the Venn diagram provided:

### Question (a)
* **Select all the genres that David likes.**
  - **Answer**: David is in the intersection of all three circles, so he likes **mystery**, **comedy**, and **drama**.

### Question (b)
* **How many students like mystery or comedy (or both)?**
  - **Answer**: To determine this, we need to count the students in the "mystery" and "comedy" circles:
    - Students who like mystery: **Nicole, Felipe, Keith, Jose, David, Kala**
    - Students who like comedy: **Keith, Jose, David, Kala, Keisha, Bob**
    - Avoid double-counting students in both (David, Keith, Jose, and Kala).
  - Total unique students who like mystery or comedy: **8** (Nicole, Felipe, Keith, Jose, David, Kala, Keisha, Bob).

### Question (c)
* **Which students only like one of the three genres (mystery, comedy, or drama)?**
  - **Answer**: This includes students who are in only one circle (not in any intersections):
    - **Mystery only**: Nicole
    - **Comedy only**: Keisha and Bob
    - **Drama only**: Ahmad, Amanda, Melissa, and Kira
  - So, the students who only like one genre are **Nicole, Keisha, Bob, Ahmad, Amanda, Melissa, and Kira**.

Would you like further explanations or details?

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Here are some follow-up questions that may help expand understanding of this Venn diagram problem:

1. How would the answers change if a new student only liked both comedy and drama?
2. What is the total number of students surveyed based on the diagram?
3. How many students like all three genres?
4. How many students like exactly two genres?
5. If another genre was added, how would the Venn diagram be affected?

**Tip**: When working with Venn diagrams, focus on intersections first to avoid double-counting individuals in multiple sets.

In a writing course, the professor surveyed the students to see the literature genres they like. The Venn diagram shows this information for three of the genres. Answer the following questions:

(a) Select all the genres that David likes.
(b) How many students like mystery or comedy (or both)?
(c) Which students only like one of the three genres (mystery, comedy, or drama)? Choose all that apply.

Explore how to analyze students' literature genre preferences using a Venn diagram. Understand set theory concepts including union and intersection to answer questions about genre popularity and individual preferences. Suitable for Grades 6-8.

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