(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.

Ihally, rewrite the negated statement clearly in plain English. "Any animal that is wild can be tamed." 3. Prove that (p ^ q) → ((-p) + q) and (¬p) V (-4) are logically equivalent by using basic logical equivalencies. Justify each step.

Indicate whether the argument is valid or invalid. For valid arguments, prove that the argument is valid using a truth table. For invalid arguments, give truth values for the variables showing that the argument is not valid

help please use the contraposition to prove if x+ y < 10,  then x< 5 or  y< 5.

What is the truth value of the compound proposition if p and q are true statements and r and s are false statements? (pvq) →r^[s^(rp)]? A True B False