The dual of statement [ p ∨ q ) ∧ ∼ q ] ∨ ∼ q is

Question

The dual of statement [ p ∨ q ) ∧ ∼ q ] ∨ ∼ q is (A) [(p ∨ q) ∧ ∼ q] ∨ ∼ q (B) [( p ∧ q ) ∧ ∼ q ] ∨ ∼ q (C) [(p ∧ q) ∨ ∼ p] ∨(∼ q) (D) [(p ∧ q) ∨ ∼ p] ∧(∼ q)

Tardigrade Admin · Accepted Answer

Correct answer is (c) [(p ∧ q) ∨ ∼ p] ∨(∼ q)

Q. The dual of statement $[p \lor q) \land \sim q] \lor \sim q$ is

$[(p \lor q) \land \sim q] \lor \sim q$

$[(p \land q) \land \sim q] \lor \sim q$

$[(p \land q) \lor \sim p] \lor (\sim q)$

$[(p \land q) \lor \sim p] \land (\sim q)$

Correct answer is (c) $[(p \land q) \lor \sim p] \lor (\sim q)$

Q. The dual of statement [p∨q)∧∼q]∨∼q is

[(p∨q)∧∼q]∨∼q

[(p∧q)∧∼q]∨∼q

[(p∧q)∨∼p]∨(∼q)

[(p∧q)∨∼p]∧(∼q)