SOLUTION: Let U = {x│x is an American} C = {x│x is a smoker} D = {x│x has a health problem} E = {x│x is a male} Describe in words a member of each of the followin

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Question 762294: Let U = {x│x is an American}
C = {x│x is a smoker}
D = {x│x has a health problem}
E = {x│x is a male}
Describe in words a member of each of the following:
(a) ¯C¯
(b) ¯C¯ ∩ ¯D¯
(c) C ∩ D
(d) D - C
(e) D U C
NOTE: U denotes “union” , ∩ denotes “intersection” and ¯ ¯ denotes “negation”,
for example, ¯ C¯ = is not a smoker
Found 2 solutions by jim_thompson5910, Edwin McCravy:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Something like this may be easy to see if you have a small set of people. If not, then I recommend you practice this some more until it becomes easier to spot.

(a) ¯C¯ = set of all non-smoking Americans

(b) ¯C¯ ∩ ¯D¯ = set of all non-smoking Americans who don't have health problems

(c) C ∩ D = set of all Americans who smoke and have health problems

(d) D - C = set of all Americans who have health problems BUT do NOT smoke

(e) D U C = set of all Americans who have health problems or they smoke (or both)

Note: for some reason set E is never used at all.
Answer by Edwin McCravy(20064)   (Show Source): You can put this solution on YOUR website!
Think of " ∩ " as having a horizontal line drawn throught it
like this: " ∩ ", making it look like the letter " A "
for the word " AND ".  It would be good if we could make the " U "
look like an " O " for the word " OR __(OR BOTH) ", but I can't 
figure out how to do that.  But just remember that 
" ∩ " means " AND ",  
" U " means " OR __(OR BOTH) ", 
" ¯ ¯ " means " NOT ", 
" - " means " BUT NOT ". 

 (a) ¯C¯       = An American who is NOT a smoker 
 (b) ¯C¯ ∩ ¯D¯ = An American who is NOT a smoker BUT NOT having a health problem
 (c) C ∩ D     = An American who is a smoker AND has a health problem
 (d) D - C     = An American who has a health problem BUT NOT a smoker 
 (e) D U C     = An American who has a health problem OR is a smoker (OR BOTH)

Edwin
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