Mathematical Logic And Boolean Algebra Question 46

Question: In the truth table for the statement $ (p\to q)rightarrow (\tilde{\ }p\vee q), $ the last column has the truth value in the following order is

Options:

A) $ TTFF $

B) $ FFFF $

C) $ TTTT $

D) $ FTFT $

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ p $ $ q $ $ p\to q $ $ \tilde{\ }p $ $ \tilde{\ }p\vee q $ $ (p\to q) $ $ rightarrow (\tilde{\ }p\vee q) $ T T T F T T T F F F F T F T T T T T F F T T T T