Linear Equation

[DavidInTexas]

I have 18 questions and this is the only one I am struggling with. Any help would be genuinely appreciated.


Let U denote the set of all students in the business college of a certain university. Let

A = {x ϵ U | x has taken a course in accounting}

B = {x ϵ U | x has taken a course in economics}

C = {x ϵ U | x has taken a course in marketing}.

Using the letters A, B, and/or C, write the set that represents each of the given statements.

Example) The set of students who have taken a course in marketing but not in economics

C ∩ B’

a) The set of students who have taken a course in economics but not a course in either accounting or marketing
b) The set of students who have taken at least one course in one of the three subjects
c) The set of students who have taken courses in all three subjects

 

[pka]

I have 18 questions and this is the only one I am struggling with. Any help would be genuinely appreciated.
Let U denote the set of all students in the business college of a certain university. Let
A = {x ϵ U | x has taken a course in accounting}
B = {x ϵ U | x has taken a course in economics}
C = {x ϵ U | x has taken a course in marketing}.
a) The set of students who have taken a course in economics but not a course in either accounting or marketing
b) The set of students who have taken at least one course in one of the three subjects
c) The set of students who have taken courses in all three subjects

\(a)~B\cap(A\cup C)^{\prime}\;\; b)A\cup B\cup C\;\; c)A\cap B \cap C \)

 

[HallsofIvy]

(a) could also be written \(\displaystyle B\cap A' \cap C'\) since \(\displaystyle (A\cup C)'= A'\cap C'\).