The domain for this question is the set {a, b, c, d, e}. The following table gives the value of predicates P, Q, and R for each element in the domain....

The domain for this question is the set {a, b, c, d, e}. The following table gives the value of predicates P, Q, and R for each element in the domain. For example, Q(c) = T because the truth value in the row labeled c and the column Q is T. Using these values, determine whether each quantified expression evaluates to true or false.

(a)

∀x (R(x) ∨ Q(x) → P(x))

(b)

∃x((x ≠ b)∧ ¬Q(x))

(c)

∃x((x = c) → P(x))

(d)

∃x(Q(x) ∧ R(x))

(e)

Q(a) ∧ P(d)

(f)

∀x ((x ≠ b) → Q(x))

(g)

∀x (P(x) ∨ R(x))

(h)

∀x (R(x) → P(x))

(i)

∃x(Q(x) ∨ R(x))