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

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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

then becomes

combine them to get

Answer:

So this means that