Mathematical Logic And Boolean Algebra Question 17

Question: If p is any 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 $

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Answer:

Correct Answer: C

Solution:

[c] Whatever the truth value of p may be, $ p\vee (\sim p) $ is always true. Hence, $ p\vee \sim (p) $ is a tautology?