SOLUTION: ) Given U = {18. 19. 20, 21, 22, 23, 24, 25, 26, 27, 28, 29}, A = {21, 23, 25, 27, 29}, and B = {26, 27, 28, 29}. Find A′ U B′.

Algebra ->  Algebra  -> sets and operations -> SOLUTION: ) Given U = {18. 19. 20, 21, 22, 23, 24, 25, 26, 27, 28, 29}, A = {21, 23, 25, 27, 29}, and B = {26, 27, 28, 29}. Find A′ U B′.       Log On

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Question 184509This question is from textbook A Survey of Mathematics with Application
: ) Given U = {18. 19. 20, 21, 22, 23, 24, 25, 26, 27, 28, 29}, A = {21, 23, 25, 27, 29}, and
B = {26, 27, 28, 29}. Find A′ U B′.
This question is from textbook A Survey of Mathematics with Application

Answer by jim_thompson5910(28536) About Me  (Show Source):
You can put this solution on YOUR website!
Note: the tick above the set name simply means the complement of the set.

A′ = Everything in set U but NOT in set A = {18, 19, 20, 22, 24, 26, 28}

B' = Everything in set U but NOT in set B = {18, 19, 20, 21, 22, 23, 24, 25}


Now simply combine the two sets A' and B' (and remove any duplicate elements) to get


A′ U B′ = {18, 19, 20, 22, 24, 26, 28} U {18, 19, 20, 21, 22, 23, 24, 25} = {18, 19, 20, 21, 22, 23, 24, 25, 26, 28}


So the answer is

A′ U B′ = {18, 19, 20, 21, 22, 23, 24, 25, 26, 28}