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 \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

Similar Questions

$\sim p \wedge q$ is logically equivalent to

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

Let $S$ be a non-empty subset of $R$. Consider the statement $p : x \in S$ is a rational number such that $x > 0$. Which of the following is the negation of $p$?

Identify the type of "Or" used in the following statement and check whether the statement is true or false:
"$A$ rectangle is a quadrilateral or a $5$-sided polygon."

The contrapositive of the inverse of $p$ $\rightarrow (p$ $\rightarrow q)$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module