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Q.
If $p: 16$ is a factor of 256 and $q: 324$ is a perfect square, then $\sim p \Leftrightarrow \sim q$ is equivalent to
Statements
Solution:
According to statements given, $p$ is true and $q$ is true.
So, $\sim p$ is false and $\sim q$ is false
$\therefore \sim p \Leftrightarrow \sim q$ is true.
Now, $p \wedge q$ is true.
$(\sim p) \wedge q$ is false.
$p \wedge(\sim q)$ is false.
$\sim p \Leftrightarrow \sim q$ is equivalent to $p \wedge q$.