Which of the following is a tautology
(1) ~ p Λ (p v q ) -> q
(2) ~ p v (p v q ) -> q
(3)~ p v (p Λ q ) -> q
(4) None of these
Answers
Answered by
8
Answer:
Answer:–
- ~p^(pvq)→q is a tautology.
Solution:–
As we know that,
The truth table is given below
p q ~p pvq p^q
T T F T T
T F F T F
F T T T F
F F T F F
Now,
Verify the options,
i) ~p^(pvq)→q
First take ~p^(pvq)
~p pvq ~p^(pvq) ~p^(pvq)→q
F T F T
F T F T
T T T T
T T F T
So,Here
~p^(pvq)→q is a tautology statement.
Note:–
Tautology — True statement
Contradiction — False statement
Similar questions