#### Answer

Sets (AUB)' and (A∩B)' are not equal. As the regions of both the sets are different.

#### Work Step by Step

a) Set (AUB)' represents all the regions of U which does not belongs to set AUB
So, The regions IV represents the set (AUB)'.
b) Set (A∩B)' represents the regions of U which does not belongs to set A∩B
So, The regions I, III, IV represents the set (A∩B)'.
Based on parts a and b, sets (AUB)' and (A∩B)' are not equal. As the regions of both the sets are different.