Let h = "John is healthy," w = "John is wealthy," and s = "John is wise." Select the symbolic form for each of the following statements. a. John is healthy and wealthy but not wise.
(h ∧ w) ∨ ~s (h ∨ w) ∧ ~s (h ∨ w) ∨ ~s h ∨ w ∧ ~s (h ∧ w) ∧ ~s

b. John is not wealthy, but he is healthy and wise.
~w ∧ (h ∨ s) ~w ∨ (h ∨ s) ~w ∧ (h ∧ s) ~w ∧ h ∨ s ~w ∨ (h ∧ s)

c. John is neither healthy, wealthy, nor wise.
~w ∨ ~h ∨ ~s ~w ∧ ~h ∧ ~s ~(w ∧ h) ∧ ~s ~w ∨ ~h ∧ ~s ~w ∧ ~h ∨ ~s

d. John is neither wealthy nor wise, but he is healthy.
(~w ∨ ~s) ∨ h (~w ∧ ~s) ∨ h ~w ∨ ~s ∧ h (~w ∧ ~s) ∧ h (~w ∨ ~s) ∧ h

e. John is wealthy, but he is not both healthy and wise.
w ∧ ~h ∧ ~s w ∧ ~(h ∨ s) w ∨ ~(h ∨ s) w ∧ ~(h ∧ s) w ∨ ~(h ∧ s)