Use the predicate Like(x, y) which is read as “x likes y”.
Use the predicate Subject(x) as well, which is read as “x is a school subject”.
Equal = and not equal ≠ are also to be used.
Use x and y as variable names.
Express the following sentences a) – f)  in predicate logic:

(a) Stina likes all subjects.
  ∀x (Subject(x)  -> Like(Stina, x) )

(b) There is a subject that Gustav likes.
  ∃x (Subject(x) -> Like(Gustav, x))

(c) Hubert likes something that Svante and Gustav like.
  ∀x (Subject(x) ∧ Like(Svante, x) ∧ Like(Gustav, x) -> Like(Hubert, x))

(d) Rut doesn’t like herself but she likes everyone who likes her.
  ∀x (¬Like(Rut, Rut) ∧ Like(x, Rut) -> Like(Rut, x))

(e) Gustav likes someone who likes math.
  ∀x∃y (Subject(y) ∧ y = math ∧ Like(x, y) -> Like(Gustav, x))

(f) Hubert likes all subjects except for math and logic, and Gustav likes math, Rut likes logic and Svante likes Rut and statistics.
  ∀x (Subject(x) ∧ x ≠ math ∧ x ≠ logic -> Like(Hubert, x))
  ∀x (Subject(x) ∧ x = math -> Like(Gustav, x))
  ∀x (Subject(x) ∧ x = math -> Like(Rut, x))
  ∀x ((Subject(x) ∧ x = statistic) V (x = Rut) -> Like(Svante, x))