Mathematical Logic And Boolean Algebra Question 143
Question: The negation of the compound proposition $ p\vee (\tilde{\ }p\vee q) $ is
Options:
A) $ (p\ \wedge \tilde{\ }q)\ \wedge \tilde{\ }p $
B) $ (p\ \wedge \tilde{\ }q)\ \vee \tilde{\ }p $
C) $ (p\ \vee \tilde{\ }q)\ \vee \tilde{\ }p $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ \tilde{\ }[p\vee (\tilde{\ }p\vee q)]\equiv ,\tilde{\ }p\ \wedge \tilde{\ }(\tilde{\ }p\vee q) $ $ \equiv \ \tilde{\ }p\wedge (\tilde{\ }(\tilde{\ }p)\ \wedge \tilde{\ }q) $ $ \equiv \tilde{\ }p\wedge (p\ \wedge \tilde{\ }q) $ .
BETA
