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Mathematics 16 Online
OpenStudy (anonymous):

What are the missing values, labeled x and y, from the truth table for ~(p ∨ q) ∧ ~p? Answer x = F, y = T x = T, y = F x = F, y = F x = T, y = T

OpenStudy (anonymous):

OpenStudy (anonymous):

@Mertsj can you exlain how i solve this one then ?

OpenStudy (mertsj):

If they are both false then p or q is also false

OpenStudy (anonymous):

you lost me.....im not smart you know..lol.

OpenStudy (mertsj):

Let's say that the truth is that I am wearing black and white Is "I am wearing red" true or false?

OpenStudy (anonymous):

false of course.

OpenStudy (mertsj):

What about "I am wearing blue? True or false?

OpenStudy (anonymous):

false

OpenStudy (mertsj):

What about "I am wearing red or blue"?

OpenStudy (anonymous):

false...

OpenStudy (mertsj):

Exactly if p is false (I am wearing red) and q is false (I am wearing blue) then p or q is false (I am wearing red or blue)

OpenStudy (anonymous):

i still dontt understand how this fits in the table.....why arre there 4 rows for each column? it makes absolutely no sense

OpenStudy (mertsj):

You are thinking of it incorrectly. Think of it as 4 columns for each row.

OpenStudy (anonymous):

ok but what do they represent?

OpenStudy (mertsj):

p q p ∨ q ~ (p ∨ q) ~p ~(p ∨ q) ∧ ~p T T T F F F That one says that if you have two true statements it is true that one or the other is true.

OpenStudy (mertsj):

Let's say that p is: I am 10 years old. Let's say that q is: I like dogs. And that both of those are true. Would it be true or false to say that I am 10 years old or I like dogs?

OpenStudy (anonymous):

false?

OpenStudy (mertsj):

Let's take a different example. 2+2=4, True 3+3=6, True 2+2=4 or 3+3=6, True or False?

OpenStudy (anonymous):

true????

OpenStudy (mertsj):

Of course. If I have two true statements then certainly one of them is true and when you use the word "or" only one of them has to be true.

OpenStudy (anonymous):

im still not understanding what the colums and rows are for!

OpenStudy (mertsj):

The rows are to tell whether the statement at the top of the column is true or false based upon whether p and q are true or false.

OpenStudy (anonymous):

why are there 4 then??

OpenStudy (mertsj):

4 rows or columns?

OpenStudy (anonymous):

both...

OpenStudy (mertsj):

There are 4 rows to accomodate the fact that p and q are sometimes assumed to be true and sometimes assumed to be false. In other words, they keep changing the conditions of the problem by altering the truth value of the given statements.

OpenStudy (mertsj):

There are 4 columns because they want you to evaluate the truth of different statements.

OpenStudy (anonymous):

im absolutely confused...........

OpenStudy (anonymous):

i dont understand why all of the columns need to be there!

OpenStudy (anonymous):

and i guess nobody is going to explain...:/

OpenStudy (anonymous):

Oh... I interpreted the question differently: I interpreted it as 'given this statement, which portion of the accompanying truth table is equivalent to (values)', in which the x's are F, T, F, T that matches up with the ~q portion of the board, if you draw it out.

OpenStudy (anonymous):

So, in other words, x is ~q for this question, and you have to figure out which values will match y, or T, F, F, T

OpenStudy (anonymous):

does anyone know the answer to this question?

OpenStudy (anonymous):

@Hero

hero (hero):

What are you pinging me for?

OpenStudy (anonymous):

i need help with this question

hero (hero):

You need help with a question someone else posted?

OpenStudy (anonymous):

yes i posted almost the same question earlier but couldnt figure it out. now i need help with this same exact question but couldnt understand how they explained

hero (hero):

The solution to this question is this: http://turner.faculty.swau.edu/mathematics/materialslibrary/truth/

OpenStudy (anonymous):

its not creating the table

hero (hero):

Yes, it will, you just don't know how to use it

OpenStudy (anonymous):

well i put in this expression ~(p ∨ q) ∧ ~p

hero (hero):

You can't put it in like that. You have to use the symbology that the program asks you to use.

OpenStudy (anonymous):

nvm i got it. thank you

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