Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer:
True
Explanation:
To find the true value of the statement, we will use the following table:
p ~p
True False
~p represents the negation p, So if p is True the negation of p is False.
In the same way, ~q is true because q is False, so its negation is true.
q ~q
False True
Now, we need to find the value of (~p^~q), where the symbol ^ represents the conjunction 'and'. So, (~p^~q) is:
~p ~q (~p^~q)
False True False
Because a statement with the conjunction 'and' is true only if both statements are true. Since ~p is False, ~p^~q is also false.
Then, we can find the value of (~p^~q)v~p), where the symbol v represents the conjunction 'or'. So, (~p^~q)v~p is:
(~p^~q) ~p (~p^~q)v~p
False False False
Because a statement with the conjunction 'or' is False only if both statements are false. Since (~p^~q) is false and ~p is false, then [(~p^~q)v~p] is also False.
Finally, we can find the value of the complete statement ~[(~p^~q)v~p)] as:
(~p^~q)v~p) ~[(~p^~q)v~p)]
False True
Because the negation of a False Statement is True
Therefore, the truth value of the compound statement is True
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.