Given the Venn diagram showing student preferences for literature genres, answer the following: a) Which genres does Felipe not like? b) How many students like at least one of the... Given the Venn diagram showing student preferences for literature genres, answer the following: a) Which genres does Felipe not like? b) How many students like at least one of the genres (nonsense, romance, or satire)? c) Which students only like romance? (Choose all that apply)
Understand the Problem
The question is based on a Venn diagram that represents students' preferences for different literary genres (nonsense, romance, and satire). We need to use the information from the diagram to:
- Identify which genres Felipe does not like.
- Determine how many students like at least one of the mentioned genres.
- Determine which students, from the list provided, like only romance and no other genre out of the three.
Answer
(a) Nonsense, Romance (b) 15 (c) Chau, Lamar, Martina
Answer for screen readers
(a) Nonsense, Romance (b) 15 (c) Chau, Lamar, Martina
Steps to Solve
- Identify Felipe's location in the Venn diagram.
Felipe is located in the part of the Venn diagram that only includes "Like satire". This implies that he likes satire.
- Determine which genres Felipe does not like.
Since Felipe only likes satire, he does not like nonsense or romance.
- Count the number of students who like at least one of the genres.
Count all the names within the circles representing nonsense, romance, and satire. The names are: Mary, Maya, Tony, Juan, Greg, Ivanna, Lamar, Chau, Martina, Jessica, Debra, Keisha, Felipe, Bill, and Christine. There are 15 names in total.
- Identify the students who only like romance.
These students should be located exclusively within the "Like romance" circle and not in any overlapping areas. From the Venn diagram, the students who only like romance are Chau, Lamar, and Martina
(a) Nonsense, Romance (b) 15 (c) Chau, Lamar, Martina
More Information
Venn diagrams are a great visual tool for understanding relationships between different groups. In this case, they helped to visualize students' preferences for various literature genres.
Tips
A common mistake in this kind of problem is misinterpreting the Venn diagram and including students who like more than one genre when the question asks for students who like only one specific genre. For part (a), a common mistake would be to not consider all the genres that Felipe doesn't like. For part (b), some might forget to count all students from each section of the diagram.
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