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- anonymous

If ~q <=> ~p is T and pf is F, find the truth value of q =>p.

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- anonymous

If ~q <=> ~p is T and pf is F, find the truth value of q =>p.

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- amistre64

another way to express that <=> part is to split it up both ways:
-q -> -p
-p -> -q

- amistre64

-q <-> -p is only true if bith those expressions are true

- anonymous

I meant to say *and p is F. Sorry. So will the value be false?

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- amistre64

dunno, id have to remember all the assorted details :)

- anonymous

don't you love truth tables?

- amistre64

p -p q -q -p -> -q -q -> -p -q <-> -p
1 0 1 0 1 1 1
1 0 0 1 1 0 0
0 1 1 0 0 1 0
0 1 0 1 1 1 1
aint that the truth :)

- amistre64

if p is 0 then -p is 1

- amistre64

other than that, im sure I cant undersatnd the rest of the question

- anonymous

we also have
\[\lnot p \leftrightarrow \lnot q \equiv p \leftrightarrow q\]

- anonymous

which certainly means if
\[\lnot p \leftrightarrow \lnot q \] is true then
\[q\rightarrow p\] is true

- amistre64

If ~q <=> ~p is T
p -p q -q -p -> -q -q -> -p -q <-> -p
1 0 1 0 1 1 1
0 1 0 1 1 1 1
and p is F,
p -p q -q -p -> -q -q -> -p -q <-> -p
0 1 0 1 1 1 1
find the truth value of q =>p.
p q -q <-> -p
0 0 1
0 -> 0 = 1

- anonymous

wow! but i still think the question is odd. if p iff q, then q implies p and p implies q, really has nothing to do with a particular case

- amistre64

indeed, its just a practice drill :)

- anonymous

Wow. Thanks for breaking this down. My prof doesn't go this in-depth. Guess he gets bored since he already knows this stuff haha

- amistre64

im in calc 3 and my teacher is still teaching us ow to add and subtract fractions; since there are students in class that have no idea how to .... makes me wonder how they even got there to begin with

- amistre64

then she wonders why she gets behind in the lessons plans :)

- anonymous

do you have to put the fractions over the same denominator? or can you just add straight across?

- amistre64

i just add straight across and hope for the best lol

- anonymous

Remarkable. Talk about breaking away from the syllabus..sheesh

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