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now negate that statement again.
what you mean negate
well turning a statement negative, in logic meaning not, means that true becomes false, false becomes true.
So is #24 and 25 on my link the samething, but just opposite
not quite. \[\Large \neg(\neg p \vee q) \Leftrightarrow p \wedge \neg q \] As in \[\Large p \vee(q \rightarrow p) \Leftrightarrow p \vee (\neg q \vee p) \Leftrightarrow p \vee \neg q \]
Is that I for the last column
The last column reads as (from the top to the bottom) \[\Large \neg (\neg p \vee q) \] False (F) True (T) False (F) False (F)
What is the correct answer for #24
Well I am not sure what you mean with the correct answer for 24, it asks you to compute the truth tables. That is a part of logic. Consider two statements, p and q, A statement (in mathematical logic) can only have two values, it can be True or False, nothing in between (that would be a topic for predicate logic) So if you look at two statements at the same time, p can be true and so can be q, or p can be false and q can still be true, the converse is that p is false and q is true, or both statements p and q can be false. This are the first lines of my truth tables, later on I just computed the statement not p, I did this by negating the column of statement p (turning true into false)
So if your teacher/instructor/professor wants a truth table as an answer, then I would hand you that in, including all the work. If you're having problem with any of the steps I applied though you can ask, it is important though that you understand the concept and meanings of OR which is denoted as a v and so on.
like how many steps total should be on the truth table
Let me help you again, I will try to do it a bit better this time: |dw:1378858984168:dw|
Sorry some of the words got cut out, I hope you can still decipher it and have a better insight into my step, you were right, I would agree and say that a good truth table requires four steps, the first one being the elementary of writing out the possibilities for the two statements p and q. The second one would be negating p because that is in the problem, the third one would be computing the compound statement within the brackets and the last one would be negating that entire statement again.
so there are 3 or 4
4 demonstrative steps, 1) Setting up the elementary statements for p and q 2) negating p (NOT p) 3) computing the compound statement: NOT p OR q 4) negating the entire compound statement NOT (NOT p OR q)