Negation of the statement "The payment will b | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

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

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: $p \iff q$,which is equivalent to $(p \rightarrow q) \wedge (q \rightarrow p)$. The negation of $p \iff q$ is $\sim(p \iff q)$,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

Similar Questions

Which of the following is a true characteristic of the Kingdom Plantae?

Which of the following is not correct regarding $Terylene$?

Which of the following is the most basic oxide?

Find the value of $-197^{\circ} C$ temperature in Kelvin. (in $~K$)

$\int \frac{3^x dx}{\sqrt{9^x-1}}$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module