Answer
The truth value of the provided compound statement with the provided condition is true.
Work Step by Step
The provided compound statement in symbolic form is \[\sim p\leftrightarrow q\].
Substitute, the truth values for simple statements\[p,q,r\] to determine the truth value for the provided compound statement\[\sim p\leftrightarrow q\].
The provided compound statement is bi-conditional statement whose ingredient variables are a negation of \[p\] with\[q\].
A bi-conditional statement is true only when the truth values of both the simple statement are same.
The truth table is: