Mathematical Logic And Boolean Algebra Question 72
Question: The contrapositive of $ (p\vee q)\Rightarrow r $ is
Options:
A) $ r\Rightarrow (p\vee q) $
B) $ \tilde{\ }r\Rightarrow (p\vee q) $
C) $ \tilde{\ }r\Rightarrow \tilde{\ }p\wedge \tilde{\ }q $
D) $ p\Rightarrow (q\vee r) $
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Answer:
Correct Answer: C
Solution:
[c] Contrapositive of $ p\Rightarrow q $ is $ \tilde{\ }q\Rightarrow \tilde{\ }p $
$ \therefore $ Contrapositive of $ (p\vee q)\Rightarrow r $ is $ \tilde{\ }r\Rightarrow \tilde{\ }(p\vee q)i.e.\tilde{\ }r\Rightarrow (\tilde{\ }p\wedge \tilde{\ }q) $
BETA
