Let the universe consist of all real numbers. Let p(x) = (x is positive) and q(x) =

Question:

Let the universe consist of all real numbers. Let
p(x) = (x is positive)
and
q(x) = (x is a perfect square).
Determine the truth value of each of the following:
(a) (x p(x)
(b) (x q(x)
(c) ∃x p(x)
(d) ∃x q(x)
(e) ∃x [p(x) ( q(x)]
(f) ∃x [q(x) ( p(x)]
(g) (x [p(x) ( q(x)]
(h) (x [q(x) ( p(x)]
(i) [(x p(x)] ( [∃x q(x)]
(j) [(x p(x)] ( [(x q(x)]