Let * , □ ∈ { ∧ , ∨ } be such that the Boolean expression ( p * ~ q ) ⇒ ( p □ q ) is a tautology. Then :

Question

Let * , □ ∈ { ∧ , ∨ } be such that the Boolean expression ( p * ~ q ) ⇒ ( p □ q ) is a tautology. Then :, * = ∨ , □ = ∧, * = ∨ , □ = ∨, * = ∧ , □ = ∨, * = ∧ , □ = ∧

MARKS App · Accepted Answer

Let ( p ∧ ~ q ) → ( p ∨ q ) is a tautology. p q ~ q p ∨ q p ∧ ~ q p ∧ ~ q ⇒ p ∨ q T T F T F T T F T T T T F T F T F T F F T F F T All are true so it's a tautology.

$p$	$q$	$~ q$	$p \lor q$	$p \land ~ q$	$(p \land ~ q) \Rightarrow (p \lor q)$
$T$	$T$	$F$	$T$	$F$	$T$
$T$	$F$	$T$	$T$	$T$	$T$
$F$	$T$	$F$	$T$	$F$	$T$
$F$	$F$	$T$	$F$	$F$	$T$

Search any question & find its solution

Looking for more such questions to practice?