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define what Q, R, and P are first?
p t t t t f f f f q t t f f t t f f r t f t f t f t f
~r f t f t f t f t ~q f f t t f f t t
suggestion: arrange those in horizontal like |dw:1370142222437:dw|
step by step you can construct the truth table for the last one(what you need)
for example, at the column of (q v~r) you just consider the combination between column q and column ~r , when you see one of them has value t, the (qv~r) has value t .got what i mean?
so q v ~r is t for the first one
be careful, the order of value of them is very important, they may be not the same between yours and mine. So, come up with yours only. I 'll show you mine to compare only
hey, many smarties here, you are safe, I can stay aside to see, ok?
the <-> means if and only if.I believe...
@Jhannybean you are right, and we have a rule for that , too
yeah thats what i dont get is how to imply that into the t/f concept
The stuff on the right can ONLY be true if the stuff on the left is true.That symbol is your main function.
( all your functions here ) are true, ONLY THEN are (all the things on the right) true.
so if its q v not r the q is true and the not r is false will it be true
i will draw what i came up with
@Jhannybean be careful, at p iff q, when both them are false, the result is true
I mean: 1 <---> 2 , if both 1 and 2 true the whole thing is true , and if both them are false, the whole thing is TRUE
(q~r ) recheck row 3,4,7
(p^~q) recheck row 1,2.
you still have the last column to get the final answer,
yeah thats where im lost
ok, I checked and since "someone else" ( who stands there and watch) says nothing, I think mine is ok, continue, friend, last column
Yes it's fine. If you are confused about the implication in both directions (if and only if) it is just an equivalence.
Check your final answers against wolfram alpha: http://www.wolframalpha.com/input/?i=%28q+or+not+r%29+equivalent+%28p+and+not+q%29
I have the table for iff here, lol https://www.google.com/search?q=truth+tables&tbm=isch&tbo=u&source=univ&sa=X&ei=xLmqUcn5FauJ0QGlt4DwBg&sqi=2&ved=0CDUQsAQ&biw=1440&bih=696#fa
ok but istill dont know what to do
@Alchemista Please, we don't have math tool on test. teach him how to get
It is a predicate based on equivalence T = T (does true equal true, yes so true). T = F (does true equal false, no, so false). F = T (not equal, so false) F = F (equal, so true)
omg thank you
So the final column is checking the equivalence of the two columns before it.