Venn Symmetric Difference
1. The problem asks to identify the Venn diagram that correctly represents the set expression $$ (A - B) \cup (B - A) $$.
2. The set $$ (A - B) $$ represents elements that are in set A but not in set B.
3. The set $$ (B - A) $$ represents elements that are in set B but not in set A.
4. The union $$ (A - B) \cup (B - A) $$ combines these two sets, which is the definition of the symmetric difference of A and B: elements in either A or B but not in both.
5. Examining the diagrams:
- Diagram a) shades outside both circles, representing neither A nor B, which is incorrect.
- Diagram b) shades both circles completely, including their intersection, which is $$ A \cup B $$ not the symmetric difference.
- Diagram c) shades only the parts of A and B that do not overlap, exactly representing $$ (A - B) \cup (B - A) $$.
6. Therefore, the correct diagram is Diagram c).
Final answer: Diagram c) correctly represents $$ (A - B) \cup (B - A) $$.