In a Venn diagram, the area marked X represents freezing and the intersecting region represents both freezing and deposition. The labels that belong in the areas marked X and Y are X: involves a change between solids and liquids; Y: involves a change between gases and solids.
In the Venn diagram, the left circle represents freezing and the right circle represents deposition. 
The area marked X belongs to freezing, so it should have the label: X: involves a change between solids and liquids. 
The intersecting region represents both freezing and deposition, so it should have the label: Y: involves a change between solids and gases. 
Therefore, the correct answer is B: X: involves a change between solids and liquids; Y: involves a change between gases and solids.