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.
-$( \mathrm { A } \cup \mathrm { D } ) \cap \mathrm { C } ^ { \prime }$
A) All diet soda pops not in cans or all caffeine-free soda pops not in cans
B) All non-cola soda pops not in cans
C) All non-diet, non-caffeine-free soda pops not in cans
D) All diet, caffeine-free soda pops not in cans

Question

Quizplus · Accepted Answer

The expression $( \mathrm { A } \cup \mathrm { D } ) \cap \mathrm { C } ^ { \prime }$ represents all diet soda pops (A) or all caffeine-free soda pops (D) that are not in cans ($C^{\prime}$). This means it includes both diet and caffeine-free soda pops, as long as they are not in cans.

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

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