Mark each statement True or False. Justify each answer. (a) When an implication p ⇒ q is used as a theorem, we refer to q as the conclusion. (b) A statement that is always false is called a lie. (c)...

Mark each statement True or False. Justify each answer.

(a) When an implication p ⇒ q is used as a theorem, we refer to q as the conclusion.

(b) A statement that is always false is called a lie.

(c) The converse of p ⇒ q is q ⇒ p.

(d) To prove “∀ n, p (n) ” is false, it takes only one counterexample.

(e) To prove “∃ n 􀂆 p (n) ” is false, it takes only one counterexample