Which of the following is logically equivalen | vedclass

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

Question

(D) We know that the implication $p \rightarrow q$ is equivalent to $\sim p \vee q$.Applying this to the expression $\sim (p \rightarrow \sim q)$:$\si

Vedclass · Accepted Answer

$\sim (p \rightarrow \sim q)$

Vedclass · Answer

(D) We know that the implication $p \rightarrow q$ is equivalent to $\sim p \vee q$.Applying this to the expression $\sim (p \rightarrow \sim q)$:$\sim (p \rightarrow \sim q) \equiv \sim (\sim p \vee \sim q)$.Using De Morgan's Law,$\sim (\sim p \vee \sim q) \equiv (\sim \sim p \wedge \sim \sim q) \equiv (p \wedge q)$.Therefore,the expression $\sim (p \rightarrow \sim q)$ is logically equivalent to $(p \wedge q)$.

Which of the following is logically equivalent to $(p \wedge q)$?

Similar Questions

Which of the following logical statements is a tautology?

Negation of the statement $\forall x \in \mathbb{R}, x^2+1=0$ is

Write the negation of the following statement and check whether the resulting statement is true:
The sum of $3$ and $4$ is $9.$

Which of the following statements is a tautology?

If the truth value of the expression $[(p \vee q) \wedge (q$ $\rightarrow r) \wedge (\sim r)]$ $\rightarrow (p \wedge q)$ is False,then the truth values of $p, q, r$ are respectively:

Vedclass Test Series

Exam Paper Generator

Online Exam Module