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  • If p is true and q is false then which one is true ? Option: 1

If p is true and q is false then which one is true ? 

Option: 1

\sim p \vee q


Option: 2

\sim p \wedge q


Option: 3

p \wedge \sim q


Option: 4

none of these


Answers (1)

best_answer

 

 

Relation Between Set Notation and Truth Table -

Sets can be used to identify basic logical structures of statements. Statements have two fundamental roles either it is true or false.

Let us understand with an example of two sets p{1,2} and q{2,3}.

\begin{array}{|c|c|c|}\hline\quad p\vee q\quad & \quad p\cup q\quad&\quad 1,2,3\quad \\ \hline p\wedge q& p\cap q&2 \\ \hline p^c& \sim p & 3,4 \\ \hline q^c& \sim q&1,4 \\ \hline\end{array}

-

 Since q is false , \sim q is true 

 Hence, p \wedge \sim q is true 

Posted by

SANGALDEEP SINGH

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