Mathematical Logic And Boolean Algebra Question 66
Question: The negation of the statement $ (p\wedge q)\to (\tilde{\ }p\vee r) $ is
Options:
A) $ (p\wedge q)\vee (p\vee \tilde{\ }r) $
B) $ (p\wedge q)\vee (p\wedge \tilde{\ }r) $
C) $ (p\wedge q)\wedge (p\wedge \tilde{\ }r) $
D) $ p\vee q $
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Answer:
Correct Answer: C
Solution:
[c] $ \tilde{\ }[(p\wedge q)\to (\tilde{\ }p\vee r)]\equiv (p\wedge q)\vee [\tilde{\ }(\tilde{\ }p\vee r)] $ $ \equiv (p\wedge q)\wedge (p\wedge \tilde{\ }r) $
BETA
