Which of the following statements is a tautology ?

Question

Which of the following statements is a tautology ? (A) ∼(p ∧ ∼ q) arrow p ∨ q (B) ∼(p ∨ ∼ q) arrow p ∧ q (C) p ∨ (∼ q) arrow p ∧ q (D) ∼(p ∨ ∼ q) arrow p ∨ q

Tardigrade Admin · Accepted Answer

~(p ∨ ~q) → p ∨ q (~p ∧ q) → p ∨ q ~ (~p ∧ q)∧ (~p ∧ ~q) ~(~p ∧ ƒ)

Q. Which of the following statements is a tautology ?

$\sim (p \land \sim q) \to p \lor q$

$\sim (p \lor \sim q) \to p \land q$

$p \lor (\sim q) \to p \land q$

$\sim (p \lor \sim q) \to p \lor q$

$(p \lor q) \to p \lor q$
$(p \land q) \to p \lor q$
${(p \land q) \land (p \land q)}$
$(p \land ƒ)$

Q. Which of the following statements is a tautology ?

∼(p∧∼q)→p∨q

∼(p∨∼q)→p∧q

p∨(∼q)→p∧q

∼(p∨∼q)→p∨q

(p∨ q)→p∨q ( p∧q)→p∨q {( p∧q)∧( p∧ q)} ( p∧ƒ)

$\sim (p \land \sim q) \to p \lor q$

$\sim (p \lor \sim q) \to p \land q$

$p \lor (\sim q) \to p \land q$

$\sim (p \lor \sim q) \to p \lor q$

$(p \lor q) \to p \lor q$
$(p \land q) \to p \lor q$
${(p \land q) \land (p \land q)}$
$(p \land ƒ)$