Answer
a.) I, II and III
b.) I, II and III
c.) A ∪ B = B ∪ A
Work Step by Step
a.) A ∪ B represents all the region of both the sets A and B.
Therefore the Region I, II and III represents A ∪ B.
b.)B ∪ A represents all the region of both the sets B and A.
Therefore the Region I, II and III represents B ∪ A.
c.) Based on parts (a) and (b), what can you conclude?
Based on part a and part b we can conclude A ∪ B = B ∪ A.
Because both the part a and b represents the same regions.