Consider the following situation: Mark wants to determine the pop music and heav
ID: 3784425 • Letter: C
Question
Consider the following situation: Mark wants to determine the pop music and heavy metal. Let P be the statement "The student listens to pop music" and let Q be the statement "The listens to heavy metal". Furthermore, define the sets U {all students in his class), A = {students who listen to pop music} and B = {students who listen to bevy metal} List all the students who do not listen to pop music. List all the students who listen to heavy metal but not pop music. List all the students who listen heavy metal or pop music. metal. List all the students who listen to neither pop music nor heavy but not both List all the students who listen to either pop music or heavy metial, but not both List all the students who listen to heavy metal and pop music.Explanation / Answer
a)~p
The student who does not listen to the pop music=U-A
b)The student who listen to heavy metal but not the pop music=B-A
P ^ ~Q
c)The students who listen to heavy metal or pop music=A U B
P ^ Q
d)The student who here neither heavy metal nor pop music=U - (A U B)
~ P ^ Q
e)the student who listen to either heavy metal or pop music but not both=( A U B) - (A^B)
f)the student who listen to heavy metal and pop music
P ^Q