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

Statement $-1 :$ $\sim (p \leftrightarrow \sim q)$ is equivalent to $p \leftrightarrow q$.
Statement $-2 :$ $\sim (p \leftrightarrow \sim q)$ is a tautology.

The statement $[(p \wedge q)$ $\rightarrow p]$ $\rightarrow (q \wedge \sim q)$ is

Consider the statement: "For an integer $n$,if $n^{3}-1$ is even,then $n$ is odd." The contrapositive statement of this statement is

The negation of the statement "If a quadrilateral is a square,then it is a rhombus" is:

Statement-$1$: $\sim (p \Leftrightarrow \sim q)$ is equivalent to $p \Leftrightarrow q$.
Statement-$2$: $\sim (p \Leftrightarrow \sim q)$ is a tautology.

Vedclass Test Series

Exam Paper Generator

Online Exam Module