Question

Is $(p\to q)\vee (q\to p)$ a tautology ?

• A. True
• B. False

Answer 1

The correct option is A True

$p$	$q$	$(p\to q)$	$(q\to p)$	$(p\to q)\vee (q\to p)$
T	T	T	T	T
T	F	F	T	T
F	T	T	F	T
F	F	T	T	T

The given statement is a tautology as the truth table has all the values as true in the output which is the property of tautology