To solve the problem, we need to analyze the Venn diagram provided in the image and answer the questions based on the information given. Let's break it down step by step.
Step 1: Understand the Venn Diagram
The Venn diagram consists of two overlapping circles:
- The
left circle represents animals that are
brown.
- The
right circle represents animals that are
striped.
- The
overlap between the two circles represents animals that are both
brown and
striped.
Step 2: Count the Animals in Each Section
From the Venn diagram:
1.
Animals that are brown but not striped: These are in the left circle but outside the overlap. There are
4 animals here.
2.
Animals that are striped but not brown: These are in the right circle but outside the overlap. There are
3 animals here.
3.
Animals that are both brown and striped: These are in the overlap. There are
5 animals here.
4.
Animals that are neither brown nor striped: These are outside both circles. There are
3 animals here.
Step 3: Answer the Questions
Now, let's answer each question based on the counts:
#### Question 1: How many animals are brown?
- Animals that are brown include those in the left circle (both inside and outside the overlap).
- Total brown animals = Animals that are brown but not striped + Animals that are both brown and striped
- Total brown animals = 4 + 5 = 9
#### Question 2: How many animals are striped?
- Animals that are striped include those in the right circle (both inside and outside the overlap).
- Total striped animals = Animals that are striped but not brown + Animals that are both brown and striped
- Total striped animals = 3 + 5 = 8
#### Question 3: How many animals are both brown and striped?
- These are the animals in the overlap.
- Total animals that are both brown and striped = 5
#### Question 4: How many animals are neither brown nor striped?
- These are the animals outside both circles.
- Total animals that are neither brown nor striped = 3
Final Answers
1. How many animals are brown?
9
2. How many animals are striped?
8
3. How many animals are both brown and striped?
5
4. How many animals are neither brown nor striped?
3
Boxed Final Answer
\[
\boxed{9, 8, 5, 3}
\]
Parent Tip: Review the logic above to help your child master the concept of set theory worksheet.
