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The problem provides the following sets:

- Universal Set \( U = \{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5\} \)
- Set \( A = \{-1, 0, 1\} \)
- Set \( B = \{0, 1, 2\} \)

Now, let’s solve the questions one by one:

### 1. \( A \cup B \) (Union of A and B)
The union of two sets includes all elements that are in \( A \), \( B \), or both. So, we combine the elements of \( A \) and \( B \):

\[
A \cup B = \{-1, 0, 1, 2\}
\]

### 2. \( A \cap B \) (Intersection of A and B)
The intersection of two sets includes only the elements that are in both \( A \) and \( B \). The common elements are:

\[
A \cap B = \{0, 1\}
\]

### 3. \( A - B \) (Difference of A and B)
The difference \( A - B \) includes the elements that are in \( A \) but not in \( B \):

\[
A - B = \{-1\}
\]

### 4. \( A \times B \) (Cartesian Product of A and B)
The Cartesian product \( A \times B \) includes all ordered pairs \( (a, b) \) where \( a \in A \) and \( b \in B \):

\[
A \times B = \{(-1, 0), (-1, 1), (-1, 2), (0, 0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2)\}
\]

### 5. \( (A \cap B)' \) (Complement of the Intersection of A and B)
The complement of a set relative to the universal set \( U \) contains all elements of \( U \) that are **not** in the set. So, we find the complement of \( A \cap B \) relative to \( U \):

\[
(A \cap B)' = U - (A \cap B) = \{-5, -4, -3, -2, -1, 2, 3, 4, 5\}
\]

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Would you like more details or have any questions on this? Here are five related questions you can explore further:

1. What is the complement of \( A \) relative to the universal set \( U \)?
2. How would the union \( B \cup (A \cap B) \) be computed?
3. What is the Cartesian product \( B \times A \)?
4. How would you express the symmetric difference \( A \Delta B \)?
5. What happens if you compute \( (A \cup B)' \)?

**Tip:** Always make sure to check the universal set carefully when calculating complements!

Let U = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5} as the universal set, A = {-1, 0, 1}, and B = {0, 1, 2}. Find the following: 1. A ∪ B 2. A ∩ B 3. A - B 4. A x B 5. (A ∩ B)'.

Solve set operations involving union, intersection, difference, Cartesian product, and complement with sets A = {-1, 0, 1}, B = {0, 1, 2}, and the universal set U = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}. This problem covers key concepts in set theory, suitable for Grades 9-12.

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