Which one of the following, statements is not | vedclass

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Question

$\left( A ight)\,\,\,\,\left( {p \vee q} ight) 	o \left( {p \vee \left( { \sim q} ight)} ight)$

    $ =  \sim \left( {

Vedclass · Accepted Answer

$\left( {p \vee q} ight) 	o \left( {p \vee \left( { \sim q} ight)} ight)$

Vedclass · Answer

$\left( A ight)\,\,\,\,\left( {p \vee q} ight) 	o \left( {p \vee \left( { \sim q} ight)} ight)$

    $ =  \sim \left( {p \vee q} ight) \vee \left( {p \vee  \sim q} ight)$

    $ = \left( { \sim p \wedge  \sim q} ight) \wedge \left( {p \vee  \sim q} ight)$

    $ 
e T$

 

$\left( B ight)\,\,\,\,\left( {p \wedge q} ight) 	o p$

    $ =  \sim \left( {p \wedge q} ight) \vee p = \left( { \sim p \vee  \sim q} ight) \vee p$

    $ = \left( { \sim p \wedge p} ight) \vee  \sim q$

     $ = T$

$\left( C ight)\,\,\,\, \sim p \vee \left( {p \vee q} ight)$

      $ = \left( { \sim p \vee p} ight) \vee q = T$

$\left( D ight)\,\,\,\, \sim \left( {p \vee q} ight) \vee \left( { \sim p \vee q} ight)$

      $ = \left( { \sim p \vee  \sim q} ight) \vee \left( { \sim p \vee q} ight)$

      $ =  \sim p \vee T = T$

Which one of the following, statements is not a tautology

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