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 
eg C$$q: 
eg V \implies C$$r: 
eg C \

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 
eg C$$q: 
eg V \implies C$$r: 
eg C \implies V$$s: C \implies 
eg V$Recall that a conditional statement $A \implies B$ is logically equivalent to its contrapositive $
eg B \implies 
eg A$.For $p: V \implies 
eg C$, the contrapositive is $C \implies 
eg V$, which is $s$. Thus, $p \equiv s$.For $q: 
eg V \implies C$, the contrapositive is $
eg C \implies V$, which is $r$. Thus, $q \equiv r$.Therefore, the pairs with the same meaning are $(p, s)$ and $(q, r)$.

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