For statements p and q,which of the following | vedclass

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(D) $1$. $p \wedge q$ is true only when both $p$ and $q$ are true. Thus,option $A$ is incorrect.$2$. $p \rightarrow q$ is false only when $p$ is true

Vedclass · Accepted Answer

$\sim (p \vee q)$ is true only when both $p$ and $q$ are false.

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(D) $1$. $p \wedge q$ is true only when both $p$ and $q$ are true. Thus,option $A$ is incorrect.$2$. $p \rightarrow q$ is false only when $p$ is true and $q$ is false. Thus,option $B$ is incorrect.$3$. $p \Leftrightarrow q$ is true when both $p$ and $q$ have the same truth value (both true or both false). Thus,option $C$ is incorrect.$4$. $\sim (p \vee q)$ is true only when $(p \vee q)$ is false,which occurs only when both $p$ and $q$ are false. Thus,option $D$ is correct.

For statements $p$ and $q$,which of the following is true?

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