Let T (x, y) mean that student x likes cuisine y, where the domain for x consists of all students at your school and the domain for y consists of all cuisines. Express each of these statements by a simple English sentence.
a) ¬T (Abdallah Hussein, Japanese)
b) ∃xT (x, Korean) ∧ ∀xT (x, Mexican)
c) ∃y(T (Monique Arsenault, y) ∨ T (Jay Johnson, y))
d) ∀x∀z∃y((x = z)→¬(T (x, y) ∧ T (z, y)))
e) ∃x∃z∀y(T (x, y) ↔ T (z,y))
f) ∀x∀z∃y(T (x, y) ↔ T (z,y))