Negation of the statement "The payment will b | vedclass

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Question

(D) Let $p$ : The payment will be made. Let $q$ : The work is finished in time. The given statement is a biconditional statement: $p \leftrightarrow q

Vedclass · Accepted Answer

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

Vedclass · Answer

(D) Let $p$ : The payment will be made. Let $q$ : The work is finished in time. The given statement is a biconditional statement: $p \leftrightarrow q$,which is equivalent to $(p \rightarrow q) \wedge (q \rightarrow p)$. The negation of $(p \leftrightarrow q)$ is $\sim(p \leftrightarrow q)$,which is equivalent to $(p \wedge \sim q) \vee (q \wedge \sim p)$. This translates to: "The payment is made and the work is not finished in time,or the work is finished in time and the payment is not made." Therefore,Option $(D)$ is correct.

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

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