Consider the following statements:p: If volta | vedclass

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Question

(C) Let $V$ be the statement 'voltage increases' and $C$ be the statement 'current decreases'.$p: V \implies C$$q: 
eg V \implies 
eg C$$r: C \impli

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'.$p: V \implies C$$q: 
eg V \implies 
eg C$$r: C \implies V$$s: 
eg C \implies 
eg V$$1$. The contrapositive of a conditional statement $A \implies B$ 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, $p$ and $s$ are equivalent.$3$. 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, $q$ and $r$ are equivalent.Therefore, the pairs with the same meaning are $(p, s)$ and $(q, r)$.

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