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Mathematical Reasoning
medium
વિધાન $p \rightarrow \sim( p \wedge \sim q )$ ને સમતુલ્ય વિધાન ...... છે
A
$(\sim p) \vee q$
B
$q$
C
$(\sim p) \wedge q$
D
$(\sim p ) \vee(\sim q )$
(JEE MAIN-2020)
Solution
$p \rightarrow \sim( p \wedge \sim q )$
$=\sim p \vee \sim( p \wedge \sim q )$
$=\sim p \vee \sim p \vee q$
$=\sim( p \wedge q ) \vee q$
$=\sim p \vee q$
Standard 11
Mathematics