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Mathematics
The contrapositive of (p∨ q)⇒ r is
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Q. The contrapositive of $ (p\vee q)\Rightarrow r $ is
Manipal
Manipal 2008
A
$\sim r \Rightarrow(p \vee q)$
B
$r \Rightarrow(p \vee q)$
C
$\sim r \Rightarrow(\sim p \wedge \sim q)$
D
$p \Rightarrow(q \vee r)$
Solution:
Given, $(p\vee q) \Rightarrow r $
$ \equiv \sim r \Rightarrow \sim(p \vee q)$
$\equiv \sim r \Rightarrow (\sim p \wedge \sim q) $