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

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