SOLUTION: U = {1,2,3,4,5,6,7}
A = {1,3,5,7}
B = {1,2,3}
C = {2,3,4,5,6}
Find each of the following sets
(C' upsidedown U A) U (C' upsidedown U B')
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Question 186683: U = {1,2,3,4,5,6,7}
A = {1,3,5,7}
B = {1,2,3}
C = {2,3,4,5,6}
Find each of the following sets
(C' upsidedown U A) U (C' upsidedown U B')
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since B = {1,2,3} and U = {1,2,3,4,5,6,7}, this means that B'= everything in U that is NOT in B = {4,5,6,7}
Also, because C = {2,3,4,5,6} and U = {1,2,3,4,5,6,7}, this means C' = everything in U that is NOT in C = {1,7}
Now let's evaluate 
. So simply find the elements that BOTH C' and A have in common:
Note: the elements 1 and 7 are BOTH in C' and A
-----------------------------------------------
Now evaluate 
. So simply find the elements that BOTH C' and B' have in common:
Note: 7 is the only element that is BOTH in C' and B
So
 \cup \left(C' \cap B' \right))
then becomes
combine them to get
Answer:
So this means that
 \cup \left(C' \cap B' \right)=\left\{1,7\right\})
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