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(C) The biconditional statement $p \Leftrightarrow \sim q$ is true if and only if both $p$ and $\sim q$ have the same truth value.Case $1$: $p$ is tru

Vedclass · Accepted Answer

$p$ is false and $q$ is true

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(C) The biconditional statement $p \Leftrightarrow \sim q$ is true if and only if both $p$ and $\sim q$ have the same truth value.Case $1$: $p$ is true and $\sim q$ is true. This implies $p$ is true and $q$ is false.Case $2$: $p$ is false and $\sim q$ is false. This implies $p$ is false and $q$ is true.Comparing this with the given options,option $C$ ($p$ is false and $q$ is true) makes the statement true.

If $p$ and $q$ are simple propositions,then $p \Leftrightarrow \sim q$ is true when

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