Consider the following statements:p: If volta | vedclass

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

Question

(C) Let $V$ be the statement 'voltage increases' and $C$ be the statement 'current decreases'.Then the statements are:$p: V \implies C$$q: 
eg V \imp

Vedclass · Accepted Answer

$p, s$ and $q, r$

Vedclass · Answer

(C) Let $V$ be the statement 'voltage increases' and $C$ be the statement 'current decreases'.Then the statements are:$p: V \implies C$$q: 
eg V \implies 
eg C$$r: C \implies V$$s: 
eg C \implies 
eg V$$1$. The contrapositive of an implication $A \implies B$ is $
eg B \implies 
eg A$, and they are logically equivalent.$2$. For $p: V \implies C$, the contrapositive is $
eg C \implies 
eg V$, which is $s$. Thus, $p \equiv s$.$3$. For $q: 
eg V \implies 
eg C$, the contrapositive is $
eg(
eg C) \implies 
eg(
eg V)$, which simplifies to $C \implies V$, which is $r$. Thus, $q \equiv r$.Therefore, the pairs with the same meaning are $(p, s)$ and $(q, r)$.

Similar Questions

Write the component statements of the following compound statement and check whether the compound statement is true or false.
$A$ line is straight and extends indefinitely in both directions.

The logical equivalent of $p \Leftrightarrow q$ is :-

The negation of the contrapositive of the statement pattern $(p \vee \sim q) \rightarrow (p \wedge \sim q)$ is

What is the statement $(p$ $\rightarrow \sim p) \wedge (\sim p$ $\rightarrow p)$?

The symbolic form of the statement "If it does not rain today or $I$ will not go to school,then $I$ will meet my friend and $I$ will go to watch a movie" is:
$p$: It rains today
$q$: $I$ am going to school
$r$: $I$ will meet my friend
$s$: $I$ will go to watch a movie

Vedclass Test Series

Exam Paper Generator

Online Exam Module