Verify whether the proposition [~(p→~q)] v (~p↔q) is a tautology, – InterviewSolution

1.

Verify whether the proposition [~(p→~q)] v (~p↔q) is a tautology, contradiction or neither.

Answer»

Let [~(p→~q)] = x and (~p↔q) = y

P	Q	~p	~q	(p→~q)	x[~(p→~q)]	Y(~p↔q)	(x v y)
T	T	F	F	F	T	F	T
T	F	F	T	T	F	T	T
F	T	T	F	T	F	T	T
F	F	T	T	T	F	F	F

∴ [~(p→~q)] v (~p↔q) is neither tautology nor contradictia

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