Solution to Prove the logical equivalence of the following statements, ~(p V ~q) V (~p ^ ~q) … - Sikademy
Author Image

Archangel Macsika

Prove the logical equivalence of the following statements, ~(p V ~q) V (~p ^ ~q) ≡ ~p

The Answer to the Question
is below this banner.

Can't find a solution anywhere?

NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?

Get the Answers Now!

You will get a detailed answer to your question or assignment in the shortest time possible.

Here's the Solution to this Question

Solution for ~(p V ~q) V (~p ^ ~q) ≡ ~p

~(p V ~q) V (~p ^ ~q) ≡ ~p
1(~p ^ ~(~q)) V (~p ^ ~q)(De Morgan’s law)
2(~p ^ q) V (~p ^ ~q)(Double negative law)
3~p ^ (q V ~q)(Distributive law)
4~p ^ t(Negation law)
5~p(Identity law)

Hence proved.

If you would like to see a different solution or have a question or concern Kindly let us know



Related Answers

Was this answer helpful?

Join our Community to stay in the know

Get updates for similar and other helpful Answers

Question ID: mtid-5-stid-8-sqid-21-qpid-14