Let the universe consist of all nonnegative integers. Let p(x) be the statement x is even. Let

Question:

Let the universe consist of all nonnegative integers. Let p(x) be the statement "x is even." Let q(x) be the statement "x is odd." Determine the truth value of
(a) (x [p(x) ˅ q(x)]
(b) [(x p(x)] ˅ [(x q(x)]
(c) ∃x [p(x) ˅ q(x)]
(d) ∃x [p(x) ˄ q(x)]
(e) (x [p(x) ( q(x)]
(f) [∃x p(x)] ˄ [∃x q(x)]
(g) (x [p(x) ( q(x)]
(h) [(x p(x)] ( [(x q(x)]?