Let U = {xƒ}x is an American}, C = {x/x is a smoker}, D = {xƒ}x has a health problem}, E = {xƒ}x is a male} Describe a person who is an element of each of the following sets. Describe a person who is an element of each of the following sets:i) C (ii) CnU (iii) CnD (iv) D-C (v) DuC (b)

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To describe a person who is an element of each of the given sets, we need to understand the meanings and operations of the given sets.

(i) C: This set consists of persons who are smokers.
A person who is an element of set C is someone who smokes.

(ii) C ∩ U (read as CnU): This set represents the intersection of sets C and U, which means finding the elements that are common to both sets.
A person who is an element of set CnU is someone who is both a smoker and an American.

(iii) C ∩ D (read as CnD): This set represents the intersection of sets C and D, which means finding the elements that are common to both sets.
A person who is an element of set CnD is someone who is both a smoker and has a health problem.

(iv) D - C (read as D-C): This set represents the difference between sets D and C, which means finding the elements that are in D but not in C.
A person who is an element of set D-C is someone who has a health problem but is not a smoker.

(v) D ∪ C (read as DuC): This set represents the union of sets D and C, which means combining all the elements from both sets without duplication.
A person who is an element of set DuC is someone who either has a health problem or is a smoker, or both.

To describe a specific person, we would need more information about their attributes and whether they belong to any of the given sets.