Question $1$

Let $p,q$ and $r$ be the propositions

p: "The device is plugged in$"$

$q$ : "The device is connected to WiFi

$r$ : "The device is functioning properly".

What is the propositional logic equivalent to the following compound

propositional statement?

The device will function properly if and only if it is plugged in and connected to

WiFi.

$(notpvvnotq)longrightarrownotr$

$(r^{{?}^{?}}(rlongrightarrowp))longrightarrowp$

$(rlongrightarrowp{)}^{{?}^{?}}(plongrightarrowq)$

rlongleftrightarrow$(p^{{?}^{?}}q)$