If sim p vee q is false, then which of the fo | vedclass

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

Question

(C) The logical expression $\sim p \vee q$ is false only when both $\sim p$ is false and $q$ is false.If $\sim p$ is false, then $p$ must be true.Sinc

Vedclass · Accepted Answer

$q 	o p 	ext{ is } T$

Vedclass · Answer

(C) The logical expression $\sim p \vee q$ is false only when both $\sim p$ is false and $q$ is false.If $\sim p$ is false, then $p$ must be true.Since $q$ is false, we have $p = T$ and $q = F$.Now, evaluate the options:$(A)$ $p \leftrightarrow q \equiv T \leftrightarrow F \equiv F$.$(B)$ $p 	o q \equiv T 	o F \equiv F$.$(C)$ $q 	o p \equiv F 	o T \equiv T$.$(D)$ $q 	o p \equiv F 	o T \equiv T$ (which is not $F$).Thus, $q 	o p$ is true.

If $\sim p \vee q$ is false, then which of the following is correct?

Similar Questions

The Boolean expression $(p$ $\Rightarrow q) \wedge (q$ $\Rightarrow \sim p)$ is equivalent to:

The contrapositive of the statement: 'If a function $f$ is differentiable at $a$,then it is also continuous at $a$',is

Negation of the statement "The payment will be made if and only if the work is finished in time." is

What type of statement is $\sim (p \rightarrow q) \Leftrightarrow (\sim p \vee \sim q)$?

Among the given statements below,which one is a tautology?

Vedclass Test Series

Exam Paper Generator

Online Exam Module