Express these system specifications usiug the given propositions and logical connectives $($including negations$)$

p: The user enters it valid password

q: Access is granted

I: The user las paid the subseription fee

$($a$)$ The user has paid the subscription fee, but does not enter a valid password.

$($b$)$ Access is granted whenever the user has paid the subscription fee and enters a valid password.

$($c$)$ Access is denied if the user has not paid the subscription fec.