SOLUTION: given U={15,16,17,18,19,20,21,22,23,24,25}, A={16,18,20,22}B={17,19,20,23,24} find A' intersect B'

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: given U={15,16,17,18,19,20,21,22,23,24,25}, A={16,18,20,22}B={17,19,20,23,24} find A' intersect B'      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 468914: given U={15,16,17,18,19,20,21,22,23,24,25}, A={16,18,20,22}B={17,19,20,23,24}
find A' intersect B'

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
given U={15,16,17,18,19,20,21,22,23,24,25}, A={16,18,20,22}B={17,19,20,23,24}
find A' ᑎ B'
A' is the set of all elements of U that are not elements of A,

so A' = {15,17,19,21,23,24,25}.

B' is the set of all elements of U that are not elements of B,

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

Therefore 

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

ᑎ means to get the set of only those elements that are in 
common to the sets on both sides of the symbol ᑎ.  There are
only three elements in common to both sets. 

A' ᑎ B' = {15,21,25}
 
Edwin