Which of the following statements is true?

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(B) To determine the truth value,we analyze the logical equivalence of $\sim (p \leftrightarrow \sim q)$.We know that $(p \leftrightarrow \sim q)$ is

Vedclass · Accepted Answer

$\sim (p \leftrightarrow \sim q)$ is equivalent to $p \leftrightarrow q$

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(B) To determine the truth value,we analyze the logical equivalence of $\sim (p \leftrightarrow \sim q)$.We know that $(p \leftrightarrow \sim q)$ is true when $p$ and $\sim q$ have the same truth value,which means $p$ and $q$ have opposite truth values.Thus,$(p \leftrightarrow \sim q)$ is equivalent to $\sim (p \leftrightarrow q)$.Therefore,$\sim (p \leftrightarrow \sim q) \equiv \sim (\sim (p \leftrightarrow q)) \equiv (p \leftrightarrow q)$.Hence,the statement in option $B$ is true.

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