I'm not entirely sure if this is posted in the right place so i'm sorry if its not.
Let the predicates M, T and C be defined by
M(x, y) means x has sent y an email message
T (x, y) means x has telephoned y
C(x) means x is a student
Express each of the following using quantifiers
a) No student has telephoned John
b) Some students have been sent an email by Graham.
c) There are two students who have telephoned one another
d) There is at least one student who has either telephoned or emailed every other student
e) Every student has either been sent an email message or had a telephone call from some other student.
Ok so I have tried to do this but I have no idea if I'm right.
(Č means 'not', A means 'For All' E means 'There exists')
for part a I get something like this
but my friend got
ČEx, C(x) ^ (y = John => T(x,y))
not sure im doing this right?