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The proposition  is equivalent to :

 

  • Option 1)

    p\vee \sim q

  • Option 2)

    p\rightarrow \sim q

  • Option 3)

    p\wedge \sim q

  • Option 4)

    q\rightarrow p

 

Answers (1)

best_answer

As we learnt in

Truth table of 'OR' operator -

-

 

 

Truth Table of "if-then" -

Figure 4

-

 

 The proposition \left ( \sim P \right ) \vee \left ( p\wedge \sim q \right )

\Rightarrow \left ( \sim p\vee p \right )\wedge \left ( \sim p\vee \sim q \right )

\Rightarrow S \wedge \left ( \sim p\vee \sim q \right )

\Rightarrow \left ( \sim p\vee \sim q \right )

which is equivalent

P \rightarrow \sim q (By truth tables) 


Option 1)

p\vee \sim q

Incorrect

Option 2)

p\rightarrow \sim q

Correct

Option 3)

p\wedge \sim q

Incorrect

Option 4)

q\rightarrow p

Incorrect

Posted by

Aadil

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