If p, q, r are simple propositions with truth | vedclass

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

Question

(A) Given the truth values: $p = T, q = F, r = T$. First,evaluate $\sim p$: $\sim T = F$. Next,evaluate $\sim r$: $\sim T = F$. Now,evaluate $(\sim p

Vedclass · Accepted Answer

True

Vedclass · Answer

(A) Given the truth values: $p = T, q = F, r = T$. First,evaluate $\sim p$: $\sim T = F$. Next,evaluate $\sim r$: $\sim T = F$. Now,evaluate $(\sim p \vee q)$: $F \vee F = F$. Then,evaluate $(\sim p \vee q) \wedge \sim r$: $F \wedge F = F$. Finally,evaluate the implication $[(\sim p \vee q) \wedge \sim r] \Rightarrow p$: $F \Rightarrow T$. Since the implication $F \Rightarrow T$ is $True$,the final truth value is $True$.

If $p, q, r$ are simple propositions with truth values $T, F, T$ respectively,then the truth value of $(\sim p \vee q) \wedge \sim r \Rightarrow p$ is

Similar Questions

Consider the following statements:
$P$: $I$ have fever
$Q$: $I$ will take medicine
$R$: $I$ will take rest
The statement "If $I$ have fever,then $I$ will take medicine and $I$ will take rest" is equivalent to:

The statement $p \to (p \leftrightarrow q)$ is logically equivalent to :-

The statement $\sim(p \leftrightarrow \sim q)$ is :

Which of the following statement patterns is a tautology?

Rewrite the following statement in the form "$p$ if and only if $q$":
$r:$ If a quadrilateral is equiangular,then it is a rectangle and if a quadrilateral is a rectangle,then it is equiangular.

Vedclass Test Series

Exam Paper Generator

Online Exam Module