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 $U$:

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

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!