Suppose that 𝐴 is the set of positive even numbers. Write the symbol ∈ or ∉ in the
blank spaces.
a. 4 _e____ 𝐴 b. 5_____ 𝐴 c. −2_____ 𝐴 d. 0____ 𝐴

Given that \( A \) is the set of positive even numbers:

a. \( 4 \ \in \ A \)  
b. \( 5 \ \notin \ A \)  
c. \( -2 \ \notin \ A \)  
d. \( 0 \ \notin \ A \)  

Would you like further details on why each of these elements belongs or does not belong to the set \( A \)?

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Here are 8 related questions for further practice:

1. What is the set of all positive odd numbers?
2. Is the number 8 in the set \( A \)? Why or why not?
3. Can a negative number ever be in the set \( A \)?
4. If \( A \) is the set of positive even numbers, what would be the set \( B \) of negative even numbers?
5. How would you represent the set \( A \) using set-builder notation?
6. What would change in your answers if \( A \) was the set of all even numbers (including negative and zero)?
7. What is the intersection of the set \( A \) and the set of all positive integers?
8. How do you define a set in mathematical terms?

**Tip:** When dealing with sets, always carefully consider the defining properties of the set before deciding if an element belongs to it.

Explore the concept of set membership with positive even numbers. Understand why certain numbers like 4 are in the set A of positive even numbers, while others like 5, -2, and 0 are not. Suitable for Grades 7-9.

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