The negation of the inverse of the statement | vedclass

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

Question

(C) Step $1$: The given statement is $S = \sim p \lor \sim q$.Step $2$: The inverse of a statement $A \lor B$ is $\sim A \lor \sim B$. However, for a

Vedclass · Accepted Answer

$\sim p \land \sim q$

Vedclass · Answer

(C) Step $1$: The given statement is $S = \sim p \lor \sim q$.Step $2$: The inverse of a statement $A \lor B$ is $\sim A \lor \sim B$. However, for a conditional statement $p 	o q$, the inverse is $\sim p 	o \sim q$. Assuming the statement is treated as a logical expression, the inverse of $\sim p \lor \sim q$ is $\sim(\sim p) \lor \sim(\sim q)$, which simplifies to $p \lor q$.Step $3$: The negation of the inverse $p \lor q$ is $\sim(p \lor q)$.Step $4$: By De Morgan's Law, $\sim(p \lor q) \equiv \sim p \land \sim q$.

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

Similar Questions

The negation of the statement $q \wedge (\sim p \vee \sim r)$ is:

If $(p \wedge \sim q) \wedge (p \wedge r) \rightarrow \sim p \vee q$ is false,then the truth values of $p, q$ and $r$ are respectively

For integers $m$ and $n$,both greater than $1$,consider the following three statements:
$P$: $m$ divides $n$
$Q$: $m$ divides $n^2$
$R$: $m$ is prime
Which of the following statements is true?

Let $A, B, C$ and $D$ be four nonempty sets. The contrapositive of 'if $A \subseteq B$ and $B \subseteq D$ then $A \subseteq C$' is

$p \Rightarrow q$ can also be written as

Vedclass Test Series

Exam Paper Generator

Online Exam Module