1) Given the following set of propositional statements, determine whether they are consistent or inconsistent. The user has contacted the web admin, but has not entered a valid password. Access is granted whenever the user has contacted the web admin or has entered a valid password. Access is denied if the user has not entered a valid password or has not contacted the web admin. P.S.: A set of propositions is consistent if there is an assignment of truth values to each of the variables in the propositions that makes each proposition/statement true.
1) Given the following set of propositional statements, determine whether they are consistent or
inconsistent.
The user has contacted the web admin, but has not entered a valid password.
Access is granted whenever the user has contacted the web admin or has entered a valid password.
Access is denied if the user has not entered a valid password or has not contacted the web admin.
P.S.: A set of propositions is consistent if there is an assignment of truth values to each of the
variables in the propositions that makes each proposition/statement true.
2) Express the following logical statements in terms of the Contrapositive, Converse, and Inverse,
respectively.
(a) You are an adult provided that you are above 18 years of age.
(b) It is daylight whenever the sun is shining.
(c) 3 × 2 = 6 only if 2 × 3 = 6.
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