Consider the following sets:

1. U=/x/x is a whole number from 0 to 20.

2. X= /x/ x is a whole number less than 10

3. Y=/x/x is a whole number greater than 5 but less than 20.

4. Z=/x/x is a whole number between 4 and 11

Let's define the sets based on the information given:

1. **Set \( U \)**: The universal set consists of all whole numbers from 0 to 20.  
   \[
   U = \{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}
   \]

2. **Set \( X \)**: This set consists of whole numbers less than 10.  
   \[
   X = \{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}
   \]

3. **Set \( Y \)**: This set consists of whole numbers greater than 5 but less than 20.  
   \[
   Y = \{6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19\}
   \]

4. **Set \( Z \)**: This set consists of whole numbers between 4 and 11 (including 4 and 11).  
   \[
   Z = \{4, 5, 6, 7, 8, 9, 10, 11\}
   \]

Would you like to perform specific operations with these sets, such as union, intersection, or difference?

Here are 5 follow-up questions related to set theory:

1. What is \( X \cup Y \) (the union of sets \( X \) and \( Y \))?
2. What is \( X \cap Y \) (the intersection of sets \( X \) and \( Y \))?
3. What is the complement of set \( Z \) with respect to \( U \) (denoted \( U - Z \))?
4. How many elements are in the union of all three sets \( X \), \( Y \), and \( Z \)?
5. What is the symmetric difference between sets \( X \) and \( Z \)?

**Tip**: The union of two sets contains all distinct elements that are in either set, while the intersection contains only elements that are in both sets.

Consider the following sets: 1. U = /x/x is a whole number from 0 to 20. 2. X = /x/ x is a whole number less than 10. 3. Y = /x/x is a whole number greater than 5 but less than 20. 4. Z = /x/x is a whole number between 4 and 11.

Learn how to solve problems involving sets U, X, Y, and Z, with operations like union, intersection, and complement. Understand the key concepts of set theory, including whole numbers from 0 to 20. Suitable for students in Grades 6-8.

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