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 follow

Algebra ->  Finite-and-infinite-sets -> 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 follow      Log On


   

Question 465832: 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
Stumped unable to start.
Answer by solver91311(24713) About Me  (Show Source):
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a) The set of all American non-smokers.

b) The set of all American non-smokers who do not have any health problems.

c) The set of all American smokers who do have at least one health problem.

d) The set of all Americans who do have at least one health problem but do not smoke. This is a intersection of the complement of C with D.

BTW, the correct notation for this is a backslash rather than a minus sign, thus which is equivalent to

e) The set of all Americans who either have at least on health problem, smoke, or both.

John

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