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

Question

Quizplus · Accepted Answer

The expression $\left( \mathrm { A } ^ { \prime } \cap \mathrm { B } ^ { \prime } \right) \cup \mathrm { C }$ includes all soda pops that are not diet ($A'$) and not cola ($B'$), as well as all soda pops in cans ($C$). This means it includes all non-diet non-cola soda pops or any soda pop if it is in a can.

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

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