Let's solve each part step by step before drawing the Venn diagram.

Given sets:

• $A = \{1, 2, 3, 4\}$
• $B = \{3, 4, 5, 6\}$

(a) $A \cap B$ (Intersection)

The intersection consists of elements common to both sets: $A \cap B = \{3, 4\}$

(b) $A \cup B$ (Union)

The union consists of all elements in either set (without duplication): $A \cup B = \{1, 2, 3, 4, 5, 6\}$

(c) $A - B$ (Difference)

Elements in $A$ but not in $B$: $A - B = \{1, 2\}$

(d) $(A - B)^c$ (Complement of $A - B$)

The complement consists of all elements not in $A - B$, assuming the universal set $U$ includes all elements appearing in $A \cup B$ (i.e., $U = \{1, 2, 3, 4, 5, 6\}$):

$(A - B)^c = U - (A - B) = \{3, 4, 5, 6\}$

Would you like me to draw the Venn diagram for this? Let me know if you have any questions!

Related Questions:

1. How do you determine the universal set in a Venn diagram?
2. What are the key differences between set union and intersection?
3. Can you explain the concept of set complements with an example?
4. How do we visualize set operations using a Venn diagram?
5. What happens when two sets are disjoint in a Venn diagram?

Tip: When working with Venn diagrams, always list out the elements explicitly to avoid mistakes in set operations!