Question

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

Answer 1

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