Let p,q,r be three statements. Then ∼ ( p ∨ ( q ∧ r ) ) is equal to Options: A . &nbsp ( ∼ p ∧ ∼ q ) ∧ ( ∼ p ∧ ∼ r ) B . &nbsp ( ∼ p ∨ ∼ q ) ∧ ( ∼ p ∨ ∼ r ) C . &nbsp ( ∼ p ∧ ∼ q ) ∨ ( ∼ p ∧ ∼ r ) D . &nbsp ( ∼ p ∨ ∼ q ) ∨ ( ∼ p ∨ ∼ r )

Answer: Option C : C ∼ ( p ∨ ( q ∧ r ) ) = ∼ p ∧ ∼ ( q ∧ r ) = ∼ p ∧ ( ∼ q ∨ ∼ r ) = ( ∼ p ∧ ∼ q ) ∨ ( ∼ p ∧ ∼ r )

Let p,q,r be three statements. Then ∼(p ∨(q ∧&#

Question -

Let p,q,r be three statements. Then $\sim (p \lor (q \land r))$ is equal to

Options:

A .

(\sim p \land \sim q) \land (\sim p \land \sim r)

B .

(\sim p \lor \sim q) \land (\sim p \lor \sim r)

C .

(\sim p \land \sim q) \lor (\sim p \land \sim r)

D .

(\sim p \lor \sim q) \lor (\sim p \lor \sim r)

Answer: Option C
:
C

$\sim (p \lor (q \land r)) =\sim p \land \sim (q \land r) =\sim p \land (\sim q \lor \sim r) = (\sim p \land \sim q) \lor (\sim p \land \sim r)$

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