Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words.
-$( A \cap B ) \cap C ^ { \prime }$
A) All cola soda pops not in cans
B) All diet cola soda pops not in cans
C) All non-diet, non-cola soda pops not in cans
D) All diet and all cola soda pops not in cans

Question

Quizplus · Accepted Answer

$(A \cap B) \cap C'$ describes the intersection of diet soda pops (A) and cola soda pops (B), which are then intersected with the complement of soda pops in cans (C'). This means the set consists of diet cola soda pops that are not in cans.

Let U = {All Soda Pops}, a = {All Diet (A∩B)∩C′( A \cap B ) \cap C ^ { \prime }(A∩B)∩C′

Let U = {All Soda Pops}, a = {All Diet $( A \cap B ) \cap C ^ { \prime }$