The negation of the statement p rightarrow (q | vedclass

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

Question

(D) The negation of a conditional statement $p \rightarrow q$ is given by $\sim (p \rightarrow q) \equiv p \wedge \sim q$. Applying this to the given

Vedclass · Accepted Answer

$p \wedge (\sim q \vee \sim r)$

Vedclass · Answer

(D) The negation of a conditional statement $p \rightarrow q$ is given by $\sim (p \rightarrow q) \equiv p \wedge \sim q$. Applying this to the given statement $p \rightarrow (q \wedge r)$: $\sim (p \rightarrow (q \wedge r)) \equiv p \wedge \sim (q \wedge r)$. Using De Morgan's Law,$\sim (q \wedge r) \equiv \sim q \vee \sim r$. Therefore,the negation is $p \wedge (\sim q \vee \sim r)$.

The negation of the statement $p \rightarrow (q \wedge r)$ is equal to .........

Similar Questions

Which of the following is the negation of the statement "for all $M > 0$,there exists $x \in S$ such that $x \geq M$"?

The negation of the statement "If $I$ become a teacher,then $I$ will open a school" is

State the converse and contrapositive of the following statement:
$p:$ $A$ positive integer is prime only if it has no divisors other than $1$ and itself.

The contrapositive statement of the statement "If $x$ is a prime number,then $x$ is odd" is

Which of the following is true?

Vedclass Test Series

Exam Paper Generator

Online Exam Module