Mathematical Reasoning
hard

माना $p , q , r$ स्वेच्छ कथन दर्शाते हैं। कथन $p \Rightarrow( q \vee r )$ का तार्किक समतुल्य है

A

$(p \vee q) \Rightarrow r$

B

$(p \Rightarrow q) \vee (p \Rightarrow r)$

C

$(p \Rightarrow  \sim q) \wedge (p \Rightarrow r)$

D

$(p \Rightarrow q) \wedge (p \Rightarrow  \sim r)$

(JEE MAIN-2014)

Solution

Given statement is

$p \Rightarrow \left( {q \vee r} \right)$ which is equivalent to

$\left( {p \Rightarrow q} \right) \vee \left( {p \Rightarrow r} \right)$

Standard 11
Mathematics

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