The negation of the statement "The payment wi | vedclass

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Question

(B) Let $p$ be the statement "The payment is made" and $q$ be the statement "The work is finished in time".The given statement is $p \leftrightarrow q

Vedclass · Accepted Answer

Either the work finished in time and the payment is not made or the payment is made and the work is not finished in time

Vedclass · Answer

(B) Let $p$ be the statement "The payment is made" and $q$ be the statement "The work is finished in time".The given statement is $p \leftrightarrow q$.We know that the negation of a biconditional statement is $\sim(p \leftrightarrow q) \equiv (p \wedge \sim q) \vee (\sim p \wedge q)$.This translates to: "The payment is made and the work is not finished in time,$OR$ the payment is not made and the work is finished in time".Comparing this with the given options,option $B$ is correct.

The negation of the statement "The payment will be made if and only if the work is finished in time" is

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