The negation of the statement "The payment wi | vedclass

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

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

Similar Questions

In a switching circuit, if the combination $(S_1 \land S_2)$ is connected in parallel to the combination $(S'_1 \land S'_2)$, then the room is lit only when ...

If $p, q, r$ are simple propositions with truth values $T, F, T$ respectively, then which of the following is not a true statement?

Rewrite the following statement in the form "$p$ if and only if $q$":
$p:$ If you watch television,then your mind is free and if your mind is free,then you watch television.

Which of the following is not a statement?

$\sim (p \vee q) \vee (\sim p \wedge q)$ is logically equivalent to

Vedclass Test Series

Exam Paper Generator

Online Exam Module