3. (2 6 = 12 points) Let Z(x) be the statement x has a Zoom account and T(x, y) be the statement x and y have talked via a Zoom meeting, where the domain for x and y consists of all people at UH. Express each of these sentences in terms of Z(x), T(x, y), quantifiers, and logical connectives.

a) Sue does not have a Zoom account.

b) No one at UH has talked with Adam via a Zoom meeting.

c) Not everyone at UH has a Zoom account.

d) There is someone at UH who has talked with everyone at UH via a Zoom meeting.

e) There are two people at UH who have not talked with each other via a Zoom meeting. f) Trinity has talked with everyone at UH via a Zoom meeting except Ting.