. Fill in the heading of the following truth table using any of p, q, Use keyboard shortcuts of --> for , <--> for ?, V for V , and ^ for ^ . p q _________ T T F T F T F T T F F T
i missed some of the symbolic forms. ~, -->, <-->, V , ^
hi jim
ok
p v q is true when either p or q is true
~(p^q)
v is Or right?
that wouldnt be this case though cuz the row 1 column 3 is a F and T T T
one sec, not done
ok
compare the tables of p v q and ~(p v q)
you'll see that the last columns are the complete opposite
yup
so this shows us that the answer for the blank is ~(p v q)
now, if you want, you can use De Morgan's Law (if your class is onto that topic) and simplify to get ~p ^ ~q
shouldn't it be ~(p^q) ?
how ?cuz its f t t t .... thats what they want is the symbolic form for the final column
oh right, I'm looking at the wrong table, sry one sec more
ok, yeah it's ~(p ^ q) because the table for p ^ q is p q p ^ q ------------- T T T T F F F T F F F F So the table for ~(p ^ q) is p q ~(p ^ q) ------------- T T F T F T F T T F F T
lost track of the truth values somehow
lol
the truth is out there... anyway, the answer is ~(p ^ q) and you can use De Morgan's Law to expand it out to ~p v ~q
nah just the basic answer lol thank you :)
np
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