Mathematical Logic And Boolean Algebra Question 31
Question: If $ S(p,q,r)=(\tilde{\ }p)\vee [\tilde{\ }(q\wedge r)] $ is a compound statement, then $ S(\tilde{\ }p,\tilde{\ }q,\tilde{\ }r) $ is
Options:
A) $ \tilde{\ }S(p,q,r) $
B) $ S(p,q,r) $
C) $ p\vee (q\wedge r) $
D) $ p\vee (q\vee r) $
Show Answer
Answer:
Correct Answer: D
Solution:
[d] $ S(p,q,r)=(\tilde{\ }p)\vee [\tilde{\ }(q\wedge r)] $ $ S(\tilde{\ }p,\tilde{\ }q,\tilde{\ }r)=\tilde{\ }(\tilde{\ }p)\vee [\tilde{\ }(\tilde{\ }q\wedge \tilde{\ }r)] $ $ =p\vee [\tilde{\ }(\tilde{\ }q)\vee \tilde{\ }(\tilde{\ }r)]=p\vee (q\vee r) $
BETA
