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Mathematical Reasoning
normal
$p \wedge (\sim q \vee \sim r)$ નું નિષેધ મેળવો.
A
$(p \vee q) \wedge (\sim p \vee r)$
B
$(\sim p \vee q) \wedge (\sim p \vee r)$
C
$(p \wedge q) \vee (p \vee r)$
D
$(\sim p \vee q) \vee (\sim p \vee r)$
Solution
$ \sim \left( {p \wedge \left( { \sim q \vee \sim r} \right)} \right) = \sim p \vee \sim \left( { \sim q \vee \sim r} \right)$
$ = \sim p \vee \left( {q \wedge r} \right) = \sim p \vee q \wedge \left( { \sim p \vee r} \right)$
Standard 11
Mathematics