Mathematical Reasoning
hard

વિધાન $(p \wedge(\sim q)) \Rightarrow(p \Rightarrow(\sim q))$ એ

A

$(\sim p) \vee(\sim q)$ને સમકક્ષ છે.

B

નિત્ય મિથ્યા છે

C

$p \vee q$ ને સમકક્ષ છે.

D

નિત્ય સત્ય છે.

(JEE MAIN-2023)

Solution

$( p \wedge \sim q ) \rightarrow( p \rightarrow \sim q )$

$\equiv(\sim( p \wedge \sim q )) \vee(\sim p \vee \sim q )$

$\equiv(\sim p \vee q ) \vee(\sim p \vee \sim q )$

$\equiv \sim p \vee t \equiv t$

Standard 11
Mathematics

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