Let's go through the problem on your image.

We are given two sets:

• $A = \{1, 2, 3\}$
• $B = \{2, 3, 4\}$

Now, we are asked to compute various set operations:

a) $A \cup B$ (Union of A and B):

The union of two sets $A$ and $B$ includes all elements that are in $A$, or $B$, or both. We list all elements without repetition.

$A \cup B = \{1, 2, 3, 4\}$

b) $A \cap B$ (Intersection of A and B):

The intersection of two sets includes only the elements that are in both $A$ and $B$.

$A \cap B = \{2, 3\}$

c) $A \setminus B$ (Difference of A and B):

This represents the set of elements that are in $A$ but not in $B$.

$A \setminus B = \{1\}$

d) $B \setminus A$ (Difference of B and A):

This represents the set of elements that are in $B$ but not in $A$.

$B \setminus A = \{4\}$

If you'd like to explore any of these set operations further or ask for more details, feel free to ask!

Here are some related questions you could think about:

1. How do you compute the symmetric difference between sets $A$ and $B$?
2. What is the power set of $A$?
3. Can you form a Venn diagram for $A$ and $B$?
4. How would you represent $A \cup B$ and $A \cap B$ using a Venn diagram?
5. What happens to the union and intersection if $A \subseteq B$?

Tip: Always list out all elements when performing set operations, and make sure to avoid duplicates in unions!