1. The problem is to show sets $A$ and $B$ on a Venn diagram and understand their elements. 2. Set $A = \{3,5,6,8,9\}$ and Set $B = \{2,3,4,5\}$. 3. Find the intersection $A \cap B$, which are elements common to both $A$ and $B$. 4. Common elements are $3$ and $5$, so $A \cap B = \{3,5\}$. 5. The elements in $A$ only are $6, 8, 9$, so $A - B = \{6, 8, 9\}$. 6. The elements in $B$ only are $2, 4$, so $B - A = \{2, 4\}$. 7. A Venn diagram will have two overlapping circles: one circle for $A$ will include $6,8,9$ and the overlap region will contain $3,5$ 8. The circle for $B$ will include $2,4$ and the overlapping region as above. 9. This clearly visualizes the shared elements and unique elements of each set. Final sets breakdown: $$A = (A - B) \cup (A \cap B) = \{6,8,9\} \cup \{3,5\} = \{3,5,6,8,9\}$$ $$B = (B - A) \cup (A \cap B) = \{2,4\} \cup \{3,5\} = \{2,3,4,5\}$$