Answer
Sets (AUB)' and A'∩B are not equal. As the regions of both the sets are different.
Work Step by Step
Set A' represents all the regions belongs to universal set U that does not belongs to A
So, The regions III & IV represents the set A'.
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 common regions of set A' and B
So, The region III 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.
