SOLUTION: Let U denotes the set of all students who applied for admission to fresman class at faber college for the upcoming academic year, and let
A = {x∈U|x is successful applicant}
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A = {x∈U|x is successful applicant}
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Question 1054310: Let U denotes the set of all students who applied for admission to fresman class at faber college for the upcoming academic year, and let
A = {x∈U|x is successful applicant}
B = {x∈U|x is a female student who enrolled in the freshman class}
C = {x∈U|x is a male student who enrolled in the freshman class}
Determine which of the following statements are true.
i) A ⊆ C
ii) C ⊆ A
iii) A ⊆ B
a. ii) only
b. ii) and iii) only
c. i) only
d. i) and ii) only
e. All are true
Please help. Thank you
You can put this solution on YOUR website! i) This is saying that A is a subset of C, or the successful applicants is a subset of the male freshman students.
ii) This is saying that C is a subset of A, or the male freshman students are a subset of the successful applicants.
iii) This is saying that A is a subset of B, or the successful applicants is a subset of the female freshman students.
The only correct choice is ii) only, since the applicants include the male and female freshmen students.
