A Set of Propositions Is Consistent If There Is an Assignment

question 199

Essay

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 true. Is the following set of propositions consistent? The system is in multiuser state if and only if it is operating normally. If the system is operating normally, the kernel is functioning. The kernel is not functioning or the system is in interrupt mode. If the system is not in multiuser state, then it is in interrupt mode. The system is in interrupt mode.

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Definitions:

Loan Date

The date on which a loan agreement is executed and from which interest starts accruing.

Final Payment

The last payment made to settle the balance of a financial obligation.

Interest Rate

The rate at which borrowers are charged interest for the use of funds they have loaned from a lender.

Equal Payments

Recurrent payment amounts in a financial agreement, such as a loan or lease, where each installment is the same over a given period.