Mathematical Logic And Boolean Algebra Question 81
Question: If p is nay statement, then which of the following is a tautology?
Options:
A) $ p\wedge f $
B) $ p\vee f $
C) $ p\vee (\tilde{\ }p) $
D) $ p\wedge t $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] Whatever the truth value of p may be, $ p\vee (\tilde{\ }p) $ is always true. Hence, $ p\vee \tilde{\ }(p) $ is a tautology.