The negation of the statement ~ p ∧ p ∨ q is:, ~ p ∨ q, ~ p ∧ q, p ∨ ~ q, p ∧ ~ q

~ ~ p ∧ p ∨ q p ∨ ~ p ∧ ~ q p ∨ ~ p ⏟ t ∧ p ∨ ~ q P ∨ ~ q

The negation of the statement ~ p ∧ p ∨ q is:

Question: Answered & Verified by Expert

The negation of the statement

~ p \land (p \lor q)

is:

MathematicsMathematical ReasoningJEE MainJEE Main 2021 (24 Feb Shift 2)

Options:

Solution:

2627 Upvotes Verified Answer

The correct answer is:

p \lor ~ q

$~ (~ p \land (p \lor q))$

$p \lor (~ p \land ~ q)$

$\underset{t}{\underset{⏟}{(p \lor ~ p)}} \land (p \lor ~ q)$

$P \lor ~ q$

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