If S(p,q,r)= ∼ p ∨ ∼ ( q ∨ r ) is a compund statement, then S(~p,~q,~r) is Options: A . &nbsp ~S (p,q,r) B . &nbsp S(p,q,r) C . &nbsp p ∨ ( q ∧ r ) D . &nbsp p ∨ ( q ∨ r )

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

If S(p,q,r)=∼p ∨∼(q ∨ r) is a compu

Discussion Forum : Mathematical Reasoning

Question -

If S(p,q,r)= $\sim p \lor \sim (q \lor r)$ is a compund statement, then S(~p,~q,~r) is

Options:

A . ~S (p,q,r)

B . S(p,q,r)

C .

p \lor (q \land r)

D .

p \lor (q \lor r)

Answer: Option C
:
C

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

Was this answer helpful ?

Next Question

Discussion Forum : Mathematical Reasoning

Submit Your Solution hear: