Verify whether the proposition ~(p ∨ q) → (~P ∧ ~q) is a tautolo – InterviewSolution

1.

Verify whether the proposition ~(p ∨ q) → (~P ∧ ~q) is a tautology contradiction or neither.

Answer»

p	q	(p∨ q)	~(p∨q)	~p	~q	(~p ∧~q)	1→2
T	T	T	F	F	F	F	T
T	F	T	F	F	T	F	T
F	T	T	F	T	F	F	T
F	F	F	T	T	T	T	T

From the table we conclude that it is a tautology

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