I am a little stuck on this problem:

The universal set for this problem is the set of students attending Miskatonic University.

M=the set of math majors
CS= the set of computer science majors
T=the set of students who had a test on Friday
P=the set of students who ate pizza last Thursday

Using only the set theoretical notation, rewrite each of the following assertions.

(A) Computer science majors had a test on Friday. CS Í T
(B) No math major ate pizza last Thursday. M Ç P=Ø
(C) Some math majors did not east pizza last Thursday. I am not sure how to accurately write this answer.
(D) Those computer science majors who did not have a test on Friday ate pizza on Thursday. I am assuming this is the answer: CSÏTÍP
(E) Math or computer science majors who ate pizza on Thursday did not have a test on Friday. Again I am assuming: MÎCSÍPÇT

2. ## Re: Universal Set | Please validate the answers I provided.

Originally Posted by rtrumpow
I am a little stuck on this problem:

The universal set for this problem is the set of students attending Miskatonic University.

M=the set of math majors
CS= the set of computer science majors
T=the set of students who had a test on Friday
P=the set of students who ate pizza last Thursday

Using only the set theoretical notation, rewrite each of the following assertions.

(A) Computer science majors had a test on Friday. CS Í T

Yes that is correct.

(B) No math major ate pizza last Thursday. M Ç P=Ø

Yes, that is correct.

(C) Some math majors did not east pizza last Thursday. I am not sure how to accurately write this answer.

The set of math majors is NOT a subset of the set of the set of students who ate pizza last Thursday.

(D) Those computer science majors who did not have a test on Friday ate pizza on Thursday. I am assuming this is the answer: CSÏTÍP

That is nonsense! T is a set of students and CS is not a student. Even if x were a student such that $\displaystyle x\in T$, that is a statement, not a set and so cannot be a subset of P.

(E) Math or computer science majors who ate pizza on Thursday did not have a test on Friday. Again I am assuming: MÎCSÍPÇT
Again, you cannot use $\displaystyle \in$ between two of these sets. I think you mean $\displaystyle M\cup CS$.