Styles 5 8. Express these system specifications using the propositions p "The user enters a valid password,"q "Access is granted," and r "The user has paid the subscription fee" and logical connectives (including negations). 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 enter a valid password." c) "Access is denied if the user has not paid the subscription fee." d) "If the user has not earned a valid password but has paid the subscription fee, then access if granted." Solution: Define the following propositions Proposition e 9 English Statement "The user enters a valid password," "Access is granted," "The user has paid the subscription fee" 。