SOLUTION: Given U = {15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}, A = {16, 18, 20, 22}, and B = {17, 19, 20, 23, 24}. Find A′U B′. Do not skip to the answer. Show your work, f

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Question 449748: Given U = {15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}, A = {16, 18, 20, 22}, and B = {17, 19, 20, 23, 24}.
Find A′U B′. Do not skip to the answer. Show your work, finding A’, then B’ then find their union

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
A = {16, 18, 20, 22}

A' = {15, 17, 19, 21, 23, 24, 25} .... this is the set of U but excluding everything in A (ie it's everything but set A). So start with U, then delete every element found in A.


B = {17, 19, 20, 23, 24}

B' = {15, 16, 18, 21, 22, 25}



Now union A' and B' to get

A' U B' = {15, 16, 17, 18, 19, 21, 22, 23, 24, 25}


This is just the combination of the two sets (ie dump all the elements from both sets A' and B' into A' U B' and remove any duplicates).

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