The negation of the converse of the statement | vedclass

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

Question

(A) $1$. The given statement is $p \lor q$. $2$. The converse of a statement $p \implies q$ is $q \implies p$. However, for a simple disjunction $p \l

Vedclass · Accepted Answer

$\sim p \land \sim q$

Vedclass · Answer

(A) $1$. The given statement is $p \lor q$. $2$. The converse of a statement $p \implies q$ is $q \implies p$. However, for a simple disjunction $p \lor q$, the converse is defined as $q \lor p$. $3$. Since $p \lor q$ is logically equivalent to $q \lor p$ (commutative law), the converse of $p \lor q$ is $p \lor q$ itself. $4$. The negation of $p \lor q$ is $\sim(p \lor q)$. $5$. By De Morgan's Law, $\sim(p \lor q) \equiv \sim p \land \sim q$.

The negation of the converse of the statement $p \lor q$ is:

Similar Questions

The following statement $(p \to q) \to [(\sim p \to q) \to q]$ is

Determine which of the following is not a statement.

The negation of the inverse of the statement $∼ p \lor q$ is...

Which of the following statements is a tautology?

If $A$: Lotuses are Pink and $B$: The Earth is a planet. Then the verbal translation of $(\sim A) \vee B$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module